- All
- 1.G.A
- 1.MD.A
- 1.NBT.B
- 1.NBT.C
- 1.OA.A
- 1.OA.B
- 1.OA.C
- 1.OA.D
- 2.G.A
- 2.MD.C
- 2.MD.D
- 2.NBT.A
- 2.NBT.B
- 2.OA.A
- 2.OA.B
- 2.OA.C
- 3.G.A
- 3.MD.C
- 3.MD.D
- 3.NF.A
- 3.OA.A
- 3.OA.B
- 3.OA.D
- 4.G.A
- 4.MD.A
- 4.NBT.A
- 4.NBT.B
- 4.NF.B
- 4.OA.A
- 4.OA.B
- 4.OA.C
- 5.G.A
- 5.G.B
- 5.MD.C
- 5.NBT.A
- 5.NBT.B
- 5.NF.A
- 5.NF.B
- 5.OA.A
- 6.EE.A
- 6.EE.B
- 6.EE.C
- 6.G.A
- 6.NS.A
- 6.NS.B
- 6.NS.C
- 6.RP.A
- 6.SP.A
- 6.SP.B
- 7.EE.B
- 7.G.A
- 7.G.B
- 7.NS.A
- 7.RP.A
- 7.SP.A
- 7.SP.C
- 8.EE.A
- 8.EE.B
- 8.EE.C
- 8.F.B
- 8.G.A
- 8.G.B
- 8.G.C
- 8.NS.A
- 8.SP.A
- HSA-APR.B
- HSA-CED.A
- HSA-REI.A
- HSA-REI.B
- HSA-REI.C
- HSA-REI.D
- HSA-SSE.A
- HSA-SSE.B
- HSF-BF.A
- HSF-BF.B
- HSF-IF.A
- HSF-IF.B
- HSF-IF.C
- HSF-LE.A
- HSF-LE.B
- HSF-TF.A
- HSF-TF.B
- HSF-TF.C
- HSG-C.A
- HSG-C.B
- HSG-CO.A
- HSG-CO.B
- HSG-CO.C
- HSG-CO.D
- HSG-GMD.A
- HSG-GMD.B
- HSG-GPE.A
- HSG-GPE.B
- HSG-MG.A
- HSG-SRT.A
- HSG-SRT.B
- HSG-SRT.C
- HSN-CN.A
- HSN-Q.A
- HSN-RN.A
- HSN-RN.B
- HSS-CP.A
- HSS-CP.B
- HSS-IC.A
- HSS-IC.B
- HSS-ID.A
- HSS-ID.B
- HSS-ID.C
- HSS-MD.A
- HSS-MD.B
- K.CC.A
- K.CC.B
- K.G.A
- K.MD.A
- K.OA.A

- All
- 1.G.A.2
- 1.MD.A.2
- 1.NBT.B.2
- 1.NBT.C.4
- 1.OA.A.1
- 1.OA.A.2
- 1.OA.B.3
- 1.OA.C.5
- 1.OA.D.7
- 1.OA.D.8
- 2.G.A.3
- 2.MD.C.8
- 2.MD.D.9
- 2.NBT.A.1
- 2.NBT.A.2
- 2.NBT.A.4
- 2.NBT.B.5
- 2.NBT.B.7
- 2.OA.A.1
- 2.OA.B.2
- 2.OA.C.3
- 3.G.A.2
- 3.MD.C.6
- 3.MD.C.7
- 3.NF.A.1
- 3.NF.A.2
- 3.NF.A.3
- 3.OA.A.2
- 3.OA.A.3
- 3.OA.A.4
- 3.OA.B.5
- 3.OA.D.9
- 4.G.A.3
- 4.MD.A.3
- 4.NBT.A.3
- 4.NBT.B.6
- 4.NF.B.4
- 4.OA.A.3
- 4.OA.B.4
- 5.G.A.2
- 5.G.B.3
- 5.MD.C.5
- 5.NBT.A.1
- 5.NBT.A.2
- 5.NBT.A.3
- 5.NBT.B.7
- 5.NF.A.1
- 5.NF.B.3
- 5.NF.B.4
- 5.NF.B.5
- 5.NF.B.6
- 5.NF.B.7
- 6.EE.A.1
- 6.EE.A.2
- 6.EE.A.3
- 6.EE.A.4
- 6.EE.B.5
- 6.EE.B.7
- 6.EE.B.8
- 6.EE.C.9
- 6.G.A.1
- 6.G.A.2
- 6.G.A.3
- 6.NS.A.1
- 6.NS.B.2
- 6.NS.B.3
- 6.NS.B.4
- 6.NS.C.6
- 6.NS.C.7
- 6.NS.C.8
- 6.RP.A.1
- 6.RP.A.2
- 6.RP.A.3
- 6.SP.A.2
- 6.SP.A.3
- 6.SP.B.4
- 6.SP.B.5
- 7.EE.B.3
- 7.EE.B.4
- 7.G.A.1
- 7.G.B.4
- 7.NS.A.1
- 7.NS.A.2
- 7.RP.A.1
- 7.RP.A.2
- 7.RP.A.3
- 7.SP.A.2
- 7.SP.C.6
- 7.SP.C.7
- 7.SP.C.8
- 8.EE.A.1
- 8.EE.A.4
- 8.EE.B.5
- 8.EE.B.6
- 8.EE.C.7
- 8.EE.C.8
- 8.F.B.4
- 8.G.A.1
- 8.G.A.2
- 8.G.A.3
- 8.G.A.5
- 8.G.B.7
- 8.G.B.8
- 8.G.C.9
- 8.NS.A.2
- 8.SP.A.1
- 8.SP.A.2
- 8.SP.A.3
- HSA-APR.B.2
- HSA-APR.B.3
- HSA-CED.A.1
- HSA-CED.A.3
- HSA-CED.A.4
- HSA-REI.A.1
- HSA-REI.A.2
- HSA-REI.C.6
- HSA-REI.D.10
- HSA-REI.D.12
- HSA-SSE.A.1
- HSA-SSE.A.2
- HSA-SSE.B.3
- HSA-SSE.B.4
- HSF-BF.A.1
- HSF-BF.B.3
- HSF-BF.B.4
- HSF-IF.B.4
- HSF-IF.B.5
- HSF-IF.B.6
- HSF-IF.C.7
- HSF-LE.A.1
- HSF-LE.A.2
- HSF-LE.A.3
- HSF-LE.A.4
- HSF-LE.B.5
- HSF-TF.A.1
- HSF-TF.A.2
- HSF-TF.A.3
- HSF-TF.A.4
- HSF-TF.B.5
- HSF-TF.C.9
- HSG-C.A.2
- HSG-CO.A.3
- HSG-CO.A.4
- HSG-CO.A.5
- HSG-CO.C.10
- HSG-CO.C.11
- HSG-CO.D.12
- HSG-CO.D.13
- HSG-GMD.A.1
- HSG-GMD.A.2
- HSG-GMD.B.4
- HSG-GPE.A.2
- HSG-GPE.B.4
- HSG-GPE.B.5
- HSG-GPE.B.7
- HSG-MG.A.1
- HSG-MG.A.2
- HSG-MG.A.3
- HSG-SRT.A.2
- HSG-SRT.B.5
- HSG-SRT.C.6
- HSG-SRT.C.8
- HSN-CN.A.2
- HSN-Q.A.1
- HSN-Q.A.2
- HSN-Q.A.3
- HSN-RN.A.1
- HSN-RN.A.2
- HSS-CP.A.1
- HSS-CP.A.2
- HSS-CP.B.7
- HSS-CP.B.9
- HSS-IC.A.2
- HSS-IC.B.4
- HSS-ID.A.2
- HSS-ID.A.3
- HSS-ID.A.4
- HSS-ID.B.6
- HSS-ID.C.7
- HSS-MD.A.2
- HSS-MD.B.5
- HSS-MD.B.7
- K.CC.A.2
- K.CC.A.3
- K.CC.B.4
- K.MD.A.2
- K.OA.A.1
- K.OA.A.2
- K.OA.A.3
- K.OA.A.5

# Search Results

We found 329 results for: 6.

### Locations in the Coordinate Plane

Some points are located ona square-unit grid, and coordinate axes are drawn: a) Choose any two poin...

#### December 31, 2015

### Exponent Experimentation 3

In each equation below, $x$ can be replaced with a number that makes the equation true. Find such a...

#### December 24, 2015

### Exponent Experimentation 2

Here are some different ways to write the value $16$: $$2^4$$ $$12-(2^1+2^2)+\frac{500}{50}$$ $$2^3+2^3$$...

#### December 24, 2015

### Families of Triangles

There are a bunch of triangles. They all have one side that is 10 centimeters long, which we will c...

#### December 18, 2015

### Reciprocity

Telulahas 10 times as much iced teaas Nikki. We can represent this with a diagram: or a multiplicat...

#### December 02, 2015

### 2 Units Wide and 3 Units Long

Here is a rectangle that is 2 units wide and 3 units long and has an area of 6 square units. If the...

#### December 02, 2015

### Tenths of Tenths and Hundredths of Hundredths

A large square hasboth sides subdivided into $10$ equal pieces. If the large square has a sidelengt...

#### December 02, 2015

### Estimating Products of Decimals

Decide which valueis closest to the answer for each of the following questions. Explain your reason...

#### December 02, 2015

### Adding Base Ten Numbers, Part 3

In the picture below, a small square represents a unit, a long, thin rectangle represents a bundle ...

#### December 02, 2015

### Adding Base Ten Numbers, Part 1

The diagram below can be used to represent 40 + 80 = 120 if a small square represents 10 and a grou...

#### December 02, 2015

### Dividing by a Fraction is the Same as Multiplying by its Reciprocal

Part 1: Match each of the three equations with one of the two diagrams below. Explain how the diagr...

#### December 02, 2015

### Simple Unit Conversion Using Ratio Reasoning

Malik is using a cookbook to make a recipe, but he can not find his measuring cups! He has, however...

#### November 25, 2015

### Same and Different

For all of these questions, it may be helpful to draw a diagram. A steady speed A snail went 6 inch...

#### November 03, 2015

### Baking Bread 1

A bread recipe calls for 5cups of flour and 2 teaspoons of yeast. How much flour and how much yeast...

#### November 03, 2015

### Representing a Context with a Ratio

A recipe calls for 2 cups of tomato sauce and 3 tablespoons of oil. We can say that the ratio of cu...

#### November 03, 2015

### Boom Town

The population of Pittsburgh was about 12,600 in 1820.Between 1820 and 1840 the population grew exp...

#### October 08, 2015

### Areas of Special Quadrilaterals

Of the polygons shown, which have equal areas? Explain how you know.

#### September 29, 2015

### Areas of Right Triangles

Explain why theright triangle shown has an area of exactly 20 square units. The "legs" of a right t...

#### September 29, 2015

### Decaying Dice

“Exponential decay” describes a situation in whicha quantity decreases following a certain pattern....

#### September 28, 2015

### All Your Base Are Belong to Us

When Esther tuned into a video game tournament being broadcast online, 64players remained in the to...

#### September 28, 2015

### Guess The Probability

An instructor in a classroom of 40 students gave each of the 40 students a bag of 10 chips. In each...

#### September 11, 2015

### Last Person Standing

An instructor in a classroom of 40 students gave each of the 40 students a bag of 10 chips. In each...

#### September 11, 2015

### Find 1 Starting from 5/3, Assessment Variation

The number line below shows two numbers, 0 and $\frac53$. Where is 1 on this number line? http://ww...

#### August 31, 2015

### Basketball Bounces, Assessment Variation 2

SCREEN I In science class, some students dropped a basketball and allowed it to bounce. They measur...

#### August 31, 2015

### Ford and Logan Add 45+36

Actions Part One: Solve the problem and explain your thinking. 45+36 Part Two: Ford and Logan each ...

#### July 15, 2015

### F-IF From the flight deck

This task is in the form of classroom instructions; it is not intended to be distributed to student...

#### July 04, 2015

### F-IF Graphing Stories

In this activity we will investigate the relationship between different quantities that are shown i...

#### July 04, 2015

### The Aquarium

PART 1: Below is an illustration of an aquarium. When the faucet is on, the water flows into the aq...

#### June 30, 2015

### Solar Radiation Model

One online source suggests thatexploiting solar energy makes sense in an area that receives $9\frac{kWh}{m^2}$...

#### June 30, 2015

### Comparing Heights of Buildings

The Burj Khalifa(Dubai) is about 2$\frac{1}{2}$ times as tall as the Eiffel Tower (Paris) . The Eif...

#### June 01, 2015

### Perfect Purple Paint I

Jessica gets her favorite shade of purple paint by mixing 2 cups of blue paint with 3 cups of red p...

#### June 01, 2015

### Party Planning

Arianna is making origami swans for her friend's birthday party. She wants to make 9 swans, one for...

#### June 01, 2015

### Extending Multiplication From Whole Numbers to Fractions

Write a story problem that can be solved by finding\(5\times4\). Draw two different diagrams that s...

#### May 22, 2015

### Describing Distributions

Data Set 1 consists of data on the time to complete an assignment (in minutes) for 25 sixth graders...

#### April 28, 2015

### Is It Center or Is It Variability?

Statistical questions are questions that can be answered by collecting data and where we anticipate...

#### April 28, 2015

### Scratch 'n Win Blues

Many large retail stores and restaurants offer special discounts and free gifts to customers throug...

#### April 26, 2015

### Fred's Flare Formula

Roadside flares are often used by motorists to warn oncoming drivers of obstacles in the roadway an...

#### April 08, 2015

### Breaking Apart Composite Solids

Students will need two different color markers or crayons to complete this task. John was finding t...

#### March 30, 2015

### Wallpaper Decomposition

Jamie is planning to cover a wall with red wallpaper. The dimensions of the wall are shown below: ...

#### February 26, 2015

### Cider versus Juice - Variation 2

Assuming you like juice and cider equally, which product is the better deal? Suppose the juice boxe...

#### February 23, 2015

### Walking the Block

Here is a map of part of Downtown Salt Lake City. You are starting at the corner of 11th Ave. and D...

#### February 23, 2015

### Mean or Median?

Bobbie is a sixth grader who competes in the 100 meter hurdles. In eight track meets during the sea...

#### February 22, 2015

### Why is a Negative Times a Negative Always Positive?

Some people define $3\times5$ as $5+5+5$, which has a value of $15$. If we use the same definition ...

#### February 21, 2015

### Average Number of Siblings

The number of siblings for a group of sixth grade students is shown below: $$1,\, 0,\, 2,\, 1,\, 6,\, 0,\, 2,\, 0,\, 1,\, 10. $$...

#### February 21, 2015

### Restaurant Bill and Party Size

The owner of a local restaurant selected a random sample of dinner tables at his restaurant. For ea...

#### January 07, 2015

### Margin of Error for Estimating a Population Mean

Background: Researchers have questioned whether the traditional value of 98.6F is correct for a typ...

#### January 06, 2015

### Always, Sometimes, Never

Decide whether each of these statements is always, sometimes, or never true. If it is sometimes tru...

#### January 05, 2015

### Rounding on the Number Line

The number 8,263 lies between 8,260 and 8,270 on the number line. Label all the other tick marks be...

#### December 08, 2014

### Reflecting points over coordinate axes

Below are some points in the coordinate plane: Find the coordinates of the points. Reflect the po...

#### November 22, 2014

### Integers on the Number Line 2

Below is a number line with 0 and 1 labeled: Find and label the numbers $-2$ and $-4$ on the number...

#### November 22, 2014

### Batting Average

Before a game, Jake's batting average was exactly 0.350. That is, the decimal expansion of the frac...

#### November 22, 2014

### Unit Conversions

There are many resources available on the computer to help converting between different units. This...

#### November 22, 2014

### Bag of Marbles

In a bag of marbles, $\frac{3}{5}$ of the marbles are blue and the rest are red. If the number of r...

#### November 22, 2014

### Which detergent is a better buy?

A store has two different brands of laundry detergent. Brand A can do 80 loads of laundry and costs...

#### November 22, 2014

### Ticket Booth

A school carnival ticket booth posts the following sign: Which amount of tickets offers the best...

#### November 22, 2014

### Scaling angles and polygons

For each shape below, draw a scaled copy with a scale factor of 2. Explain why your drawing is accu...

#### November 22, 2014

### Finding the distance between points

Plot the points (5,3), (-1,1), and (2,-3) in the coordinate plane and find the lengths of the three...

#### October 26, 2014

### Choosing appropriate units

A computer has 128 gigabytes of memory. One gigabyte is $1 \times 10^9$ bytes. A floppy disk, used ...

#### October 26, 2014

### Same Size, Same Shape?

For each pair of figures, decide whether these figures are the same size and same shape. Explain yo...

#### September 26, 2014

### Valid Equalities? (Part 2)

Decide if the equations are true or false. Explain your answer. 4 x 5 = 20 34 = 7 x 5 3 x 6 = 9 x 2...

#### July 22, 2014

### Congruent and Similar Triangles

In triangles $ABC$ and $DEF$ below $m(\angle A) = m(\angle D)$, $m(\angle B) = m(\angle E)$ and $|\overline{AB}| = |\overline{DE}|$...

#### July 08, 2014

### Volume formulas for cylinders and prisms

The volume of a rectangular prism of length $l$, width $w$, and height $h$ is $l \times w \times h$...

#### July 05, 2014

### Special Triangles 2

Use the unit circle and indicated triangle below to find the exact value of the sine and cosine of ...

#### May 20, 2014

### 1,000 is half of 2,000

A new internet organization called Illuminated Manifolds (IM) is trying to generate 2,000 insightfu...

#### May 13, 2014

### Drinking the Lake

About how much water does an average person drink in a life time? Explain. What size container woul...

#### May 12, 2014

### Defining Parabolas Geometrically

Suppose $F = (0,2)$ and $\ell$ is the $x$-axis: Find the point on the $y$-axis equidistant from $F$...

#### May 09, 2014

### Graphing from Factors III

Mike is trying to sketch a graph of the polynomial $$ f(x)=x^3+4x^2+x-6. $$ He notices that the coe...

#### May 08, 2014

### Three Hidden Rectangles

There are many ways to find the area of this figure. Try to find as many ways as you can to split t...

#### May 06, 2014

### Identifying Outliers

Students were asked to report how far (in miles) they each live from school. The following distance...

#### May 03, 2014

### Measuring Variability in a Data Set

Jim has taken 4 exams in his Statistics class. Exam Score 1 92 2 84 3 96 4 100 Both the MAD (mea...

#### May 03, 2014

### Understanding the Standard Deviation

This task is divided into four parts. Part 1 Below are dot plots for three different data sets. Th...

#### May 03, 2014

### The Addition Rule

Consider the population consisting of the students at a high school who are members of the student ...

#### May 03, 2014

### What exactly is a radian?

Definition: An angle of $1$ radian is defined to be the angle, in the counterclockwise direction, a...

#### May 02, 2014

### Triangle Perimeters

Below is a picture of two triangles with vertices on coordinate grid points: What are the perimeter...

#### April 30, 2014

### Similar Quadrilaterals

Quadrilaterals $ABCD$ and $EFGH$ have three corresponding congruent angles: $m(\angle A) = m(\angle E)$...

#### April 30, 2014

### Bicycle Wheel

The wheels on a bicycle have a radius of 13 inches. One wheel is pictured below: The point $O$ is t...

#### April 29, 2014

### Rewriting a Quadratic Expression

What is the minimum value taken by the expression $(x-4)^2 + 6$? How does the structure of the expr...

#### April 29, 2014

### Peyton's Books

Materials Chart paper Word problem Peyton had 16 books to take on his trip. He lost some. Now hehas...

#### April 22, 2014

### Mental Division Strategy

Jillian says I know that 20 times 7 is 140 and if I take away 2 sevens that leaves 126. So 126 $\div$...

#### April 15, 2014

### Number Line Comparisons

Plot the following numbers on the number line. $$ $$ $$ 456 \qquad \qquad 983\qquad \qquad 938 \qquad \qquad 425 \qquad \qquad 220 \qquad \qquad 202\qquad \qquad 799 $$...

#### April 04, 2014

### Giving raises

A small company wants to give raises to their 5 employees. They have $10,000 available to distribut...

#### April 01, 2014

### Hours of Daylight 1

In order to determine how effective solar panels would be at various times of the year it is import...

#### April 01, 2014

### Estimating a Solution via Graphs

Jason and Arianna are working on solving the system of linear equations $$ \begin{align} 6x + 17y &= 100\\ 5x + 9y &= 86. \end{align} $$...

#### March 20, 2014

### Which is Longer?

Materials Blackline Master Pencil or Crayons Long, skinny objects to compare; for example: a pair o...

#### March 18, 2014

### Dice Addition 2

Adding two numbers to make an equation. #### Materials * One pair of dice per student * A recording...

#### March 13, 2014

### Standing in Line

Alysha really wants to ride her favorite ride at the amusement park one more time before her parent...

#### February 27, 2014

### Meerkat Coordinate Plane Task

Greetings from the Kalahari Desert in South Africa! In this activity, you will learn a lot about th...

#### February 27, 2014

### Are these equivalent to 9.52?

Isaiah is thinking of the number 9.52 in his head. Decide whether each of these has the same value ...

#### February 26, 2014

### Finding the unknown in a division equation

Tehya and Kenneth are trying to figure out which number could be placed in the box to make this equ...

#### February 18, 2014

### Which number is it?

Netta drew a picture on graph paper: She said, In my picture, a big square represents 1. Since ten ...

#### February 18, 2014

### Rounding to the Nearest 1000

The tick marks on the number line are evenly spaced. Label them. Plot the following numbers on the ...

#### February 18, 2014

### Defining Trigonometric Ratios

Below is a picture of $\triangle ABC$: Draw a triangle $DEF$ that is similar (but not congruent) to...

#### January 07, 2014

### Powers of a complex number

Let $z = 1 + i$ where $i^2 = -1$. Calculate $z^2, z^3,$ and $z^4$. Graph $z, z^2, z^3,$ and $z^4$ i...

#### January 07, 2014

### Properties of Trigonometric Functions

Below is a picture of an angle $\theta$ in the $x$-$y$ plane with the unit circle sketched in purpl...

#### January 06, 2014

### Spiderbox

A spider walks on the outside of a box from point A to B to C to D and finally to point E as shown ...

#### November 25, 2013

### My Book of Five

Materials Double sided counters Markers that are the same colors as the counters Teacher-made “My B...

#### November 14, 2013

### Folding a square into thirds

Suppose we take a square piece of paper and fold it in half vertically and diagonally, leaving the ...

#### October 30, 2013

### Inscribing an equilateral triangle in a circle

Suppose we are given a circle of radius $r$. The goal of this task is to construct an equilateral t...

#### October 30, 2013

### Modeling London's Population

The table below shows historical estimates for the population of London. Year18011821 18411861 1881...

#### October 30, 2013

### Boiling Water

Below is a table showing the approximate boiling point of water at different elevations: Elevation ...

#### October 30, 2013

### Parallelograms and Translations

Suppose $\overline{AB}$ is a line segment and $D$ is a point not on $\overline {AB}$ as pictured be...

#### October 29, 2013

### Bernardo and Sylvia Play a Game

Bernardo and Silvia play the following game. An integer between 0 and 999, inclusive, is selected a...

#### October 21, 2013

### Products and Reciprocals

The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the rec...

#### October 14, 2013

### Origami Silver Rectangle

This task examines the mathematics behind an origami construction of a rectangle whose sides have t...

#### October 14, 2013

### Link-Cube Addition

Materials * Link-cubes or snap-cubes (2 colors for each student or pair of students) * A die * Pape...

#### September 18, 2013

### Picturing Factors in Different Orders

Find all the factor pairs for 30. For each factor pair, draw a picture that shows both of the facto...

#### September 18, 2013

### Equal Area Triangles on the Same Base I

On graph paper, sketch a line segment with end points $A=(0,2)$ and $B=(0,6)$. Plot all points $C=(x,y)$...

#### September 11, 2013

### Used Subaru Foresters II

Jane wants to sell her Subaru Forester and does research online to find other cars for sale in her ...

#### September 08, 2013

### Olympic Men's 100-meter dash

The scatterplot below shows the finishing times for the Olympic gold medalist in the men's 100-mete...

#### September 08, 2013

### Polygons in the Coordinate Plane

The vertices of eight polygons are given below. For each polygon: Plot the points in the coordinate...

#### September 08, 2013

### Circle Sandwich

A square is inscribed in a circle which is inscribed in a square as shown below. Note that the vert...

#### September 08, 2013

### Differences and Distances

Conner and Aaron are working on their homework together to find the distance between two numbers, $a$...

#### September 07, 2013

### Markers in Boxes

Presley has 18 markers. Her teacher gives her three boxes and asks her to put an equal number of ma...

#### September 07, 2013

### Distances between Points

Some points are shown in the coordinate plane below. What is the distance between points B & C? Wha...

#### September 06, 2013

### Folding a Square into Thirds

Suppose we take a square piece of paper and fold it in half vertically and diagonally, leaving the ...

#### September 04, 2013

### Building an Explicit Quadratic Function by Composition

Let $f$ be the function defined by $f(x) = 2x^2 + 4x - 16$. Let $g$ be the function defined by \beg...

#### August 26, 2013

### Slopes Between Points on a Line

The slope between two points is calculated by finding the change in $y$-values and dividing by the ...

#### August 19, 2013

### Multiplying Decimals by 10

Explain why $0.4\times10=4$. Explain why $3.4\times10=34$. Draw pictures to illustrate your explana...

#### August 15, 2013

### Setting Goals

Seth wants to buy a new skateboard that costs \$167. He has \$88 in the bank. If he earns \$7.25 an...

#### August 14, 2013

### Classifying Triangles

Choose two distinct points $A$ and $B$ in the plane. For which points $C$ is $\triangle ABC$ a righ...

#### August 13, 2013

### Stuffing Envelopes

Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns \$14 for...

#### August 12, 2013

### Running Time

Many computer applications use very complex mathematical algorithms. The faster the algorithm, the ...

#### August 12, 2013

### Who is the better batter?

Below is a table showing the number of hits and the number of times at bat for two Major League Bas...

#### August 10, 2013

### Dueling Candidates

Joel and Marisa are running for president at their middle school (grades 6-8). After the votes are ...

#### August 10, 2013

### Climbing the steps of El Castillo

Chichén Itzá was a Mayan city in what is now Mexico. The picture below shows El Castillo, also know...

#### August 07, 2013

### Thunder and Lightning

Alyssa sees a lightning bolt in the sky and counts four seconds until she hears the thunder. There ...

#### August 07, 2013

### Defining Rotations

Consider the following possible definitions for rotation of the plane by an angle $a$ about the poi...

#### July 09, 2013

### Walk-a-thon 2

Julianna participated in a walk-a-thon to raise money for cancer research. She recorded the total d...

#### July 07, 2013

### To regroup or not to regroup

Sometimes when we subtract one number from another number we "regroup," and sometimes we don't. For...

#### June 28, 2013

### Hitting The Target Number

Materials * Number cards labeled 1-10 (attached as a PDF) Actions * Begin by playing the game as a ...

#### June 23, 2013

### Building toward fluency

Materials * Whiteboard or chart paper and markers * Empty number line or magnetic cubes lined up on...

#### June 23, 2013

### The Circumference of a Circle and the Area of the Region it Encloses

What is the definition of a circle with center $A$ and radius $r$? A circle has center $A$ and radi...

#### June 21, 2013

### Model air plane acrobatics

A model airplane pilot is practicing flying her airplane in a big loop for an upcoming competition....

#### May 30, 2013

### Grandfather Tang's Story

Materials * A copy of Grandfather Tang's Story by Ann Tompert * One set of tangrams for each studen...

#### May 29, 2013

### Placing a square root on the number line

Place $\sqrt{28}$ on a number line, accurate to one decimal point....

#### May 29, 2013

### Symmetries of a quadrilateral II

There is exactly one reflection and no rotation that sends the convex quadrilateral ABCD onto itsel...

#### May 29, 2013

### Sum and Difference angle formulas

In this task, you will show how all of the sum and difference angle formulas can be derived from a ...

#### May 29, 2013

### Is this a parallelogram?

In quadrilateral $ABCD$ pictured below, $\overline{AB}$ is congruent to $\overline{CD}$ and $\overline{BC}$...

#### May 28, 2013

### Multiples of 3, 6, and 7

Make a list of the first ten multiples of 3. Which of the numbers in your list are multiples of 6? ...

#### May 27, 2013

### Numbers in a Multiplication Table

The table below shows all the products of pairs of numbers between 1 and 9. Which numbers appear on...

#### May 27, 2013

### Shapes and their Insides

Draw a purple pentagon Draw a blue shape with 3 line segments that is not a triangle. Draw an orang...

#### May 27, 2013

### Latitude

Standard maps of the earth are broken into a grid of latitude lines (east-west) and longitude lines...

#### May 27, 2013

### The Marble Jar

Sometimes hotels, malls, banks, and other businesses will present a display of a large, clear conta...

#### May 24, 2013

### Integer Solutions to Inequality

What is the sum of all integer solutions to $1\lt (x-2)^2\lt...

#### May 24, 2013

### Domino Addition

Materials A large set of dominoes to affix to a whiteboard or place in a pocket chart, or a regular...

#### May 24, 2013

### Animal Brains

Is there an association between the weight of an animal’s body and the weight of the animal’s brain...

#### May 23, 2013

### Puzzle Times

Each of the 20 students in Mr. Anderson's class timed how long it took them to solve a puzzle. Thei...

#### May 22, 2013

### Heads or Tails

Each of the 20 students in Mr. Anderson's class flipped a coin ten times and recorded how many time...

#### May 22, 2013

### Designs

Find the area and perimeter of the colored part of each of the six figures below. The purple, blue,...

#### May 20, 2013

### Sammy's Chipmunk and Squirrel Observations

For a science project, Sammy observed a chipmunk and a squirrel stashing acorns in holes. The chipm...

#### May 19, 2013

### The Locker Game

The 20 students in Mr. Wolf's 4th grade class are playing a game in a hallway that is lined with 20...

#### May 17, 2013

### Halves, thirds, and sixths

A small square is a square unit. What is the area of this rectangle? Explain. What fraction of the ...

#### May 16, 2013

### The Intersection of Two Lines

Draw the two lines that intersect only at the point $(1,4)$. One of the lines should pass through t...

#### May 15, 2013

### Summer Swimming

The local swim center is making a special offer. They usually charge \$7 per day to swim at the poo...

#### May 15, 2013

### Distances Between Houses

Aakash, Bao Ying, Chris and Donna all live on the same street as their school, which runs from east...

#### May 15, 2013

### Fruit Salad

A fruit salad consists of blueberries, raspberries, grapes, and cherries. The fruit salad has a tot...

#### May 15, 2013

### The Value of Education

The table shows four people who earn the typical amount for their education level. NameLevel of Edu...

#### May 14, 2013

### A Triangle's Interior Angles

Given that $\overleftrightarrow{DE}\parallel\overleftrightarrow{AC}$ in the diagram below, prove th...

#### May 14, 2013

### Finding Lines of Symmetry

Each shape below has a line of symmetry. Draw a line of symmetry for each shape. Not every shape ha...

#### May 14, 2013

### Bookstore Account

At the beginning of the month, Evan had \$24 in his account at the school bookstore. Use a variable...

#### May 13, 2013

### 20 Tickets

Materials 20 counters or linking cubes per pair of students pencil copy of the problem Actions The ...

#### May 05, 2013

### The Very Hungry Caterpillar

Materials The Very Hungry Caterpillar by Eric Carle The students work individually or in pairs. Eac...

#### April 24, 2013

### Saving Money 1

Materials Popsicle sticks and rubber bands or base-10 blocks Paper and pencil for each student Acti...

#### April 03, 2013

### A Cubic Identity

Let $a$ and $b$ be real numbers with $a>b>0$ and $\frac{a^3-b^3}{(a-b)^3}=\frac{73}{3}$. What is $\frac{b}{a}$...

#### March 29, 2013

### Sitting across from Each Other

Angie, Bridget, Carlos, and Diego are seated at random around a square table, one person to a side....

#### March 28, 2013

### Pairs of Whole Numbers

The sums of three whole numbers taken in pairs are 12, 17, and 19. What is the middle...

#### March 27, 2013

### Alex, Mel, and Chelsea Play a Game

Alex, Mel, and Chelsea play a game that has 6 rounds. In each round there is a single winner, and t...

#### March 27, 2013

### Unit Squares and Triangles

Three unit squares and two line segments connecting two pairs of vertices are shown. What is the ar...

#### March 27, 2013

### Basketball Bounces, Assessment Variation 1

SCREEN I In science class, some students dropped a basketball and allowed it to bounce. They measur...

#### March 19, 2013

### Molly's Run, Assessment Variation

Molly ran $\frac{2}{3}$ of a mile in 8 minutes. If Molly runs at that speed, how long will it take ...

#### March 18, 2013

### Riding at a Constant Speed, Assessment Variation

Lin rode a bike 20 miles in 150 minutes. If she rode at a constant speed, How far did she ride in 1...

#### March 18, 2013

### The Escalator, Assessment Variation

Ty took the escalator to the second floor. The escalator is 12 meters long, and he rode the escalat...

#### March 18, 2013

### US Airports, Assessment Variation

The scatter plot below shows the relationship between the number of airports in a state and the pop...

#### March 18, 2013

### Buying Bananas, Assessment Version

Carlos bought $6\frac12$ pounds of bananas for \$5.20. What is the price per pound of the bananas t...

#### March 18, 2013

### Art Class, Assessment Variation

The students in Ms. Baca’s art class were mixing yellow and blue paint. She told them that two mixt...

#### March 18, 2013

### Robot Races, Assessment Variation

The students in Carli’s class built some solar-powered robots which they raced in the cafeteria of ...

#### March 18, 2013

### Gotham City Taxis

The taxi fare in Gotham City is \$2.40 for the first $\frac{1}{2}$ mile and additional mileage char...

#### March 17, 2013

### Anna in D.C.

Anna enjoys dinner at a restaurant in Washington, D.C., where the sales tax on meals is 10%. She le...

#### March 17, 2013

### Rolling Twice

A fair six-sided die is rolled twice. What is the theoretical probability that the first number tha...

#### March 17, 2013

### Two-School Dance

There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5:4. There are ...

#### March 17, 2013

### Box of Clay

A box 2 centimeters high, 3 centimeters wide, and 5 centimeters long can hold 40 grams of clay. A s...

#### March 17, 2013

### Area of a Trapezoid

Quadrilateral $ABCD$ is a trapezoid, $AD = 15$, $AB = 50$, $BC = 20$, and the altitude is 12. What ...

#### March 17, 2013

### Overlapping Squares

Two congruent squares, $ABCD$ and $PQRS$, have side length 15. They overlap to form the 15 by 25 re...

#### March 16, 2013

### Point Reflection

The point in the $x$-$y$ plane with coordinates $(1000,2012)$ is reflected across the line $y=2000$...

#### March 16, 2013

### A rectangle in the coordinate plane

Below is a quadrilateral in the coordinate plane: Use the Pythagorean theorem to find the lengths o...

#### March 13, 2013

### Is this a rectangle?

Is the quadrilateral with vertices $(-6, 2)$, $(-3,6)$, $(9, -3)$, $(6,-7)$ a rectangle? Explain.

#### March 13, 2013

### How thick is a soda can? Variation II

About how thick is a soda can? Explain which measurements you will need to take as well as extra in...

#### March 04, 2013

### Valentine Marbles

A hotel holds a Valentine's Day contest where guests are invited to estimate the percentage of red ...

#### February 19, 2013

### Rising Gas Prices – Compounding and Inflation

Inflation is the measure of the annual growth in the price of a good or service, computed as the pe...

#### February 11, 2013

### Tile Patterns I: octagons and squares

One interesting tile pattern (see for example this Tile Pattern) has four octagons surrounding what...

#### January 23, 2013

### Global Positioning System II

Global Positioning System or GPS devices receive input from satellites and use this information to ...

#### January 21, 2013

### Running around a track II

An Olympic $400$ meter track is made up of two straight sides, each measuring $84.39$ meters in len...

#### January 21, 2013

### Running around a track I

An Olympic $400$ meter track is made up of two straight sides, each measuring $84.39$ meters in len...

#### January 21, 2013

### Right triangles inscribed in circles II

Suppose $ABC$ is a triangle with angle $ACB$ a right angle. Suppose $M$ is the midpoint of segment ...

#### January 21, 2013

### Calories in a sports drink

The label on a $16.9$ ounce bottle of a sports drink indicates that one serving of $8$ ounces conta...

#### January 05, 2013

### How thick is a soda can? Variation I

A cylindrical soda can is made of aluminum. It is approximately $4 \frac{3}{4}$ inches high and the...

#### January 04, 2013

### What is 23 ÷ 5?

Jessa has 23 one-dollar bills that she wants to divide equally between her 5 children. How much mon...

#### January 03, 2013

### Making a ten

Below is a table showing all the ways to add the numbers from 1 to 9. Each sum which is larger than...

#### January 02, 2013

### Saving Money 2

Louis wants to give \$15 to help kids who need school supplies. He also wants to buy a pair of shoe...

#### January 02, 2013

### Should We Send Out a Certificate?

Test scores on a statewide standardized test for a large population of students are normally distri...

#### December 26, 2012

### Carnival Tickets

Every year a carnival comes to Hallie's town. The price of tickets to ride the rides has gone up ev...

#### December 19, 2012

### Movie tickets

Hallie is in 6th grade and she can buy movie tickets for \$8.25. Hallie's father was in 6th grade i...

#### December 19, 2012

### How Long?

You will need various items to measure, a large set of cubes such as unifix or snap cubes, and a re...

#### December 18, 2012

### Basketball

Chase and his brother like to play basketball. About a month ago they decided to keep track of how ...

#### December 15, 2012

### Distance across the channel

In science class, Mrs. Winkler’s students are studying the water flow in a channel close to their s...

#### December 14, 2012

### Counting Mat

Materials * Counting Mats * Small objects to count, such as bears or tiles. Action The teacher give...

#### November 11, 2012

### Reflecting a rectangle over a diagonal

Each picture below shows a rectangle with a line through a diagonal. For each picture, use the grid...

#### November 11, 2012

### How Many Days Until Summer Vacation?

Materials * Paper * Pencil * Hundreds board * Base-ten blocks Actions Pose this problem to the chil...

#### October 12, 2012

### Lines of symmetry for triangles

Below are pictures of four triangles with given side lengths: For each triangle, find and draw all ...

#### October 12, 2012

### Identifying Multiples

Below is a multiplication table for single digit numbers: Use a different copy of the multiplicatio...

#### October 12, 2012

### Checking a calculation of a decimal exponent

Alicia and Zara are scientists working together. Alicia uses a calculator to evaluate $3^{1.4}$ and...

#### October 12, 2012

### Medieval Archer

A computer game uses functions to simulate the paths of an archer’s arrows. The $x$-axis represents...

#### October 10, 2012

### Hand span and height

Do taller people tend to have bigger hands? To investigate this question, each student in your clas...

#### October 09, 2012

### Rolling Dice

Roll two dice 10 times. After each roll, note whether any sixes were observed and record your resul...

#### October 09, 2012

### Return to Fred's Fun Factory (with 50 cents)

In order to play a popular “spinning wheel” game at Fred's Fun Factory Arcade, a player is required...

#### October 04, 2012

### Fred's Fun Factory

A famous arcade in a seaside resort town consists of many different games of skill and chance. In o...

#### October 04, 2012

### Number Rods

Materials * Unifix cubes or snap cubes, composed into rods with 1-10 cubes (or any counting sequenc...

#### October 01, 2012

### Texting and Grades I

Medhavi suspects that there is a relationship between the number of text messages high school stude...

#### September 20, 2012

### Calculating and Rounding Numbers

Lucia's calculator gives a value of $$ 3.14159265 $$ for $\pi$. Is the equation $$ \pi = 3.14159265 $$...

#### September 13, 2012

### Course of Antibiotics

Susan has an ear infection. The doctor prescribes a course of antibiotics. Susan is told to take 25...

#### September 13, 2012

### Quinoa Pasta 3

Jerry was recently diagnosed with celiac disease. This means that he cannot eat any food containing...

#### September 13, 2012

### Quinoa Pasta 2

A type of pasta is made of a blend of quinoa and corn. How much of the pasta is quinoa and how much...

#### September 13, 2012

### Molly's Run

Molly runs $\frac{1}{3}$ of a mile in 4 minutes. If Molly continues at the same speed, how long wil...

#### September 05, 2012

### Puppy Weights

Below are the 25 birth weights, in ounces, of all the Labrador Retriever puppies born at Kingston K...

#### August 28, 2012

### Patterns in the multiplication table

The table shows products of the whole numbers 1 through 6. Color all of the even products in the ta...

#### August 27, 2012

### Morning Walk

Sierra walks her dog Pepper twice a day. Her evening walk is two and a half times as far as her mor...

#### August 27, 2012

### Watch out for Parentheses

Evaluate the following numerical expressions. $2(5+(3)(2)+4)$ $2((5+3)(2+4))$ $2(5+3(2+4))$ Can the...

#### August 27, 2012

### Coins in a circular pattern

Below is a table of diameters of different denominations of United States Coins: DenominationDiamet...

#### August 21, 2012

### Ants versus humans

The average mass of an adult human is about 65 kilograms while the average mass of an ant is approx...

#### August 16, 2012

### Busy Day

The Jonas family had a really busy day. After leaving their home, Mrs. Jonas dropped son Cody at hi...

#### August 15, 2012

### Logistic Growth Model, Explicit Version

The dots in the graph below show the approximate United States Population measured each decade star...

#### August 15, 2012

### Which Pictures Represent One Half?

Which pictures show one half of the shape shaded? Explain. Is more or less than one half of the sha...

#### August 13, 2012

### Quinoa Pasta 1

A type of pasta is made of a blend of quinoa and corn. The pasta company is not disclosing the perc...

#### August 10, 2012

### Calculating the square root of 2

Jessica evaluates $\sqrt{2}$ on her calculator which shows a value of $$ 1.4142136. $$ She then wri...

#### August 09, 2012

### Mixed Numbers with Unlike Denominators

Find two different ways to add these two numbers: $$1\frac{1}{3} + 2\frac{3}{5}$$...

#### August 08, 2012

### Jog-A-Thon

Alex is training for his school's Jog-A-Thon and needs to run at least $1$ mile per day. If Alex ru...

#### August 07, 2012

### Folding Strips of Paper

Label the points on the number line that correspond to $\frac16$, $\frac26$, $\frac36$, $\frac46$, ...

#### July 30, 2012

### Karl's Garden

Karl's rectangular vegetable garden is 20 feet by 45 feet, and Makenna's is 25 feet by 40 feet. Who...

#### July 24, 2012

### Connor and Makayla Discuss Multiplication

Makayla said, "I can represent $3\times \frac23$ with 3 rectangles each of length $\frac23$." Conno...

#### July 14, 2012

### Accurately weighing pennies I

In $1983$ the composition of pennies in the United States was changed due, in part, to the rising c...

#### June 29, 2012

### Random Walk III

Imagine Scott stood at zero on a life-sized number line. His friend flipped a coin $6$ times. When ...

#### June 06, 2012

### Shape Hunt Part 1

This game is a scavenger hunt. It can be played indoors or outdoors. In the play area, the teacher ...

#### June 05, 2012

### Reflected Triangles

The triangle in the upper left of the figure below has been reflected across a line into the triang...

#### June 05, 2012

### Fishing Adventures 2

Fishing Adventures rents small fishing boats to tourists for day-long fishing trips. Each boat can ...

#### April 26, 2012

### Mathemafish Population

You are a marine biologist working for the Environmental Protection Agency (EPA). You are concerned...

#### April 19, 2012

### Base and Height

Mrs. Lito asked her students to label a base $b$ and its corresponding height $h$ in the triangle s...

#### April 02, 2012

### How is the Weather?

Given below are three graphs that show solar radiation, $S$, in watts per square meter, as a functi...

#### March 29, 2012

### Snail Invasion

In 1966, a Miami boy smuggled three Giant African Land Snails into the country. His grandmother eve...

#### March 29, 2012

### Finding Areas of Polygons

Find the area that is shaded in each figure in at least two different ways.

#### March 29, 2012

### Fishing Adventures 1

Fishing Adventures rents small fishing boats to tourists for day-long fishing trips. Each boat can ...

#### March 29, 2012

### As the Wheel Turns

A wheel of radius 0.2 meters begins to move along a flat surface so that the center of the wheel mo...

#### March 28, 2012

### Graphs of Power Functions

1. Sketch the graphs of the functions described by $\displaystyle f(x)=x^2$ and $\displaystyle g(x)=x^4$...

#### March 28, 2012

### Interpreting the graph

Use the graph (for example, by marking specific points) to illustrate the statements in (a)–(d). If...

#### March 27, 2012

### Rainbow Number Line

The teacher will need a package of regular sentence strips and a medium point black permanent marke...

#### March 27, 2012

### The Square Counting Shortcut

Imagine that each square in the picture measures one centimeter on each side. What is the area of e...

#### March 26, 2012

### Exponentials and Logarithms II

Let $f$ be the function defined by $f(x)=10^x$ and $g$ be the function defined by $g(x)=\log_{10}(x)$...

#### March 26, 2012

### Find the Missing Number

Find the missing number in each of the following equations: $$ 9 - 3 = \square \qquad \qquad 8 + \square = 15 \qquad \qquad 16 - \square = 5 $$...

#### March 26, 2012

### Fishing Adventures 3

Fishing Adventures rents small fishing boats to tourists for day long fishing trips. Each boat can ...

#### March 26, 2012

### Bus and Car

Julio went to Germany to watch an international soccer tournament. He first watched Argentina play ...

#### March 25, 2012

### Are They Similar?

In the picture given below, line segments $AD$ and $BC$ intersect at $X$. Line segments $AB$ and $CD$...

#### March 24, 2012

### Dividing by One-Half

Solve the four problems below. Which of the following problems can be solved by finding $3 \div \frac12$...

#### March 23, 2012

### Setting Up Sprinklers

Selina has a 9 meter by 12 meter lawn that she wants to water. She has two sprinklers, each of whic...

#### March 22, 2012

### Party Favors

Pia was having a party. She put 10 stickers in each party bag. On the first day she made 10 bags. H...

#### March 22, 2012

### Red and Blue Tiles

Lin wants to put some red and blue tiles on a wall for decoration. She is thinking about several di...

#### March 21, 2012

### Triangle Series

Consider the picture below, consisting of a nested sequence of five equilateral triangles, colored ...

#### March 20, 2012

### How does the solution change?

In the equations (a)–(d), the solution $x$ to the equation depends on the constant $a$. Assuming $a$...

#### March 18, 2012

### Running to School, Variation 3

Rosa ran $\frac13$ of the way from her home to school. She ran $\frac14$ mile. How far is it betwee...

#### March 18, 2012

### Christo’s Building

Christo and Jeanne Claude are artists who wrap large things – bridges, buildings, even islands. (Se...

#### March 18, 2012

### Jayden’s Snacks

Jayden has \$20.56. He buys an apple for 79 cents and a granola bar for \$1.76. How much money did ...

#### March 17, 2012

### Comparisons 2

Use $\lt$, =, or $\gt$ to complete the following number sentences. $657$ ______ $457 + 100 + 100$ $926$...

#### March 17, 2012

### Buying a Car

Suppose a friend tells you she paid a total of \$16,368 for a car, and you'd like to know the car's...

#### March 16, 2012

### Distances on the Number Line 2

On the number line above, the numbers $a$ and $b$ are the same distance from $0$. What is $a+b$? Ex...

#### March 14, 2012

### Operations on the number line

A number line is shown below. The numbers $0$ and $1$ are marked on the line, as are two other numb...

#### March 14, 2012

### Estimating Square Roots

Without using the square root button on your calculator, estimate $\sqrt{800}$ as accurately as pos...

#### March 13, 2012

### Tennis Balls in a Can

The official diameter of a tennis ball, as defined by the International Tennis Federation, is at le...

#### March 13, 2012

### Equivalent Expressions

Which of the following expressions are equivalent? Why? If an expression has no match, write 2 equi...

#### March 13, 2012

### The Longest Walk

Pick two points on the outside borders of the United States map (excluding Hawaii and Alaska) so th...

#### March 12, 2012

### The Canoe Trip, Variation 2

Mike likes to canoe. He can paddle 150 feet per minute. He is planning a river trip that will take ...

#### March 12, 2012

### Computing Volume Progression 4

A rectangular tank is $24\text{ cm}$ wide, and $30\text{ cm}$ long. It contains a stone and is fill...

#### March 11, 2012

### Computing Volume Progression 2

Amy has a fish tank shaped like a rectangular prism that is 20 cm by 20 cm by 16 cm. What is the vo...

#### March 11, 2012

### Lake Algae

On June 1, a fast growing species of algae is accidentally introduced into a lake in a city park. I...

#### March 11, 2012

### Comparing Snow Cones

Pablo's Icy Treat Stand sells home-made frozen juice treats as well as snow-cones. Originally, Pabl...

#### March 10, 2012

### A Pencil and a Sticker

A pencil costs 59 cents, and a sticker costs 20 cents less. How much do a pencil and a sticker cost...

#### March 10, 2012

### Interpreting a Division Computation

Use the computation shown below to find the products. $189\times 16$ $80\times 16$ $9 \times 16$

#### March 09, 2012

### Finding Parabolas through Two Points

Find all quadratic functions described by the equation $y = ax^2 + bx + c$ whose graph contains the...

#### March 09, 2012

### Running to School, Variation 2

The distance between Rosa’s house and her school is $\frac34$ mile. She ran $\frac14$ mile. What fr...

#### March 08, 2012

### Drinking Juice, Variation 3

Alisa had some juice in a bottle. Then she drank $\frac38$ liters of juice. If this was $\frac34$ o...

#### March 08, 2012

### Teen Go Fish

Materials One deck of cards with the teen numbers (11-19), 4 of each number. Play The students play...

#### March 07, 2012

### Solving Equations

In elementary school, students often draw pictures of the arithmetic they do. For instance, they mi...

#### March 06, 2012

### Voting for Two, Variation 1

John and Will ran for 6th grade class president. There were 36 students voting. John got two votes ...

#### March 06, 2012

### Painting a Barn

Alexis needs to paint the four exterior walls of a large rectangular barn. The length of the barn i...

#### March 06, 2012

### Average Cost

John makes DVDs of his friend’s shows. He has realized that, because of his fixed costs, his averag...

#### March 05, 2012

### Use Cavalieri’s Principle to Compare Aquarium Volumes

The management of an ocean life museum will choose to include either Aquarium A or Aquarium B in a ...

#### February 27, 2012

### Ice Cream Cone

You have been hired by the owner of a local ice cream parlor to assist in his company’s new venture...

#### February 25, 2012

### Newton's Law of Cooling

A cup of hot coffee will, over time, cool down to room temperature. The principle of physics govern...

#### February 02, 2012

### Fractions on the Number Line

Find and label the numbers $\frac43$, $\frac 54$, $-\frac23$, and $-\frac34$ on the number line. Fo...

#### January 27, 2012

### Equations and Formulas

Use inverse operations to solve the equations for the unknown variable, or for the designated varia...

#### January 19, 2012

### Extending the Definitions of Exponents, Variation 2

A biology student is studying bacterial growth. She was surprised to find that the population of th...

#### January 18, 2012

### Traffic Jam

Last Sunday an accident caused a traffic jam 12 miles long on a straight stretch of a two lane free...

#### January 02, 2012

### Exponential growth versus linear growth II

Using a scientific calculator, Alex makes the following table listing values of $(1.001)^x$ and $2x$...

#### January 02, 2012

### Skeleton Tower

How many cubes are needed to build this tower? How many cubes are needed to build a tower like this...

#### January 01, 2012

### Rumors

Susanna heard some exciting news about a well-known celebrity. Within a day she told 4 friends who ...

#### January 01, 2012

### Kimi and Jordan

Kimi and Jordan are each working during the summer to earn money in addition to their weekly allowa...

#### January 01, 2012

### Interesting Interest Rates

City Bank pays a simple interest rate of 3% per year, meaning that each year the balance increases ...

#### January 01, 2012

### Reasoning about Multiplication and Division and Place Value, Part 2

Place a decimal on the right side of the equal sign to make the equation true. Explain your reasoni...

#### December 31, 2011

### Number After Bingo 1-15

Each student will need a different Number After Game Board (a 5x5 grid with numbers from 2 through ...

#### December 31, 2011

### Gifts from Grandma, Variation 1

Juanita spent \$9 on each of her 6 grandchildren at the fair. How much money did she spend? Nita bo...

#### December 31, 2011

### Multiples and Common Multiples

List all the multiples of 8 that are less than or equal to 100. List all the multiples of 12 that a...

#### December 29, 2011

### The Florist Shop

The florist can order roses in bunches of one dozen and lilies in bunches of 8. Last month she orde...

#### December 29, 2011

### Taxi!

Lauren keeps records of the distances she travels in a taxi and what she pays: Distance, $d$, in mi...

#### December 28, 2011

### Midpoints of the Sides of a Paralellogram

Suppose that $ABCD$ is a parallelogram, and that $M$ and $N$ are the midpoints of $\overline{AB}$ a...

#### December 28, 2011

### Mixing Fertilizer

A landscaping company prepares two mixtures of fertilizer. Mixture A contains 5 liters of liquid fe...

#### December 27, 2011

### Adding Multiples

Nina was finding multiples of 6. She said, 18 and 42 are both multiples of 6, and when I add them, ...

#### December 27, 2011

### Factors and Common Factors

List all the factors of 48. List all the factors of 64. What are the common factors of 48 and 64? W...

#### December 15, 2011

### Bake Sale

Lindy is having a bake sale. She has 48 chocolate chip cookies to put in bags. How many bags can sh...

#### December 12, 2011

### Tax and Tip

After eating at your favorite restaurant, you know that the bill before tax is $52.60 and that the ...

#### December 08, 2011

### Buying Protein Bars and Magazines

Tom wants to buy some protein bars and magazines for a trip. He has decided to buy three times as m...

#### December 08, 2011

### Friends Meeting on Bikes

Taylor and Anya are friends who live 63 miles apart. Sometimes on a Saturday, they ride toward each...

#### December 05, 2011

### SAT Scores

Suppose that SAT mathematics scores for a particular year are approximately normally distributed wi...

#### November 26, 2011

### Find 1

Locate 1 on the number line. Label the point. Be as exact as possible. Locate 1 on the number line....

#### November 05, 2011

### Sore Throats, Variation 2

Nia and Trey both had a sore throat so their mom told them to gargle with warm salt water. $\hskip30pt$...

#### November 02, 2011

### Coffee by the Pound

Lena paid \$18.96 for 3 pounds of coffee. What is the cost per pound for this coffee? How many poun...

#### November 02, 2011

### Buying Coffee

Coffee costs \$18.96 for 3 pounds. What is the cost for one pound of coffee? At this store, the pri...

#### November 02, 2011

### Pick Two

For each set of numbers below, pick two numbers that add to make six. Write an equation that shows ...

#### November 02, 2011

### Largest Number Game

Dona had cards with the numbers 0 to 9 written on them. She flipped over three of them. Her teacher...

#### October 29, 2011

### Voting for Three, Variation 1

John, Marie, and Will all ran for 6th grade class president. Of the 36 students, 16 voted for John,...

#### October 22, 2011

### Ice Cream Van

You are considering driving an ice cream van during the summer vacation. Your friend, who “knows ev...

#### September 14, 2011

### Baking Cookies

Alice, Raul, and Maria are baking cookies together. They need $\frac34$ cup of flour and $\frac13$ ...