Activity Set 1

Practice (Source: https://openupresources.org/math-curriculum/)

Select all the true equations.

1. 5 + 0 = 0

2. 15 0 = 0

3. 1.4 + 2.7 = 4.1

4. 2559 = 712

5. 423 =5 -13

Equivalent Ratios (Source: https://www.openmiddle.com/)

Using each of the digits 0-6 only once, make two equivalent ratios (also known as a proportion).

Eightfold (Source: https://playwithyourmath.com/)

Try this challenge!

Activity Set 2

Expression (Source: https://openupresources.org/math-curriculum/)

Mai's water bottle had 24 ounces in it. After she drank  ounces of water, there were 10 ounces left. Select all the equations that represent this situation.

1. 24 10 = x

2. 24 +10 = x

3. 24 -10 = x

4. x + 10 = 24

5. 10x = 24

Odd Pig Out Game (Source: mathforlove.org)

Roll two dice and multiply them. You can keep rolling as long as the product is even. If the product is odd, you lose all unbanked points for that turn, and pass the dice. Play to 500.

Fraction Talk (Source: http://fractiontalks.com/)

Shade in one of the regions in this square. What fraction of the big square did you shade? Explain.

Activity Set 3

Decimal Addition (Source: https://www.openmiddle.com/)

Use the digits, 0 through 9, without repeats, to complete the equation below:

Which One Doesn’t Belong? (Source: wodb.ca) 

Choose a number in this picture that you don’t think belongs with the rest. Explain why. Can you pick another number and give a different reason? 

Word Problem (Source: https://openupresources.org/math-curriculum/)

The daily recommended allowance of vitamin C for a sixth grader is 45 mg. 1 orange has about 75% of the recommended daily allowance of vitamin C. How many milligrams are in 1 orange? If you get stuck, consider using the double number line.

Activity Set 4

Percent Problems (Source: https://openupresources.org/math-curriculum/)

There are 90 kids in the band. 20% of the kids own their own instruments, and the rest rent them.

1. How many kids own their own instruments?

2. How many kids rent instruments?

3. What percentage of kids rent their instruments?

One Big Factor Family (Source: https://playwithyourmath.com/)

Imagine that each number has a family.

• Its children are its factors that are not equal to itself.

• Some numbers have grandchildren…

• … and great-grandchildren

• There are four 1s in the 8’s family

How many 1s are in the 72’s family?

Visual Pattern (Source: visualpatterns.org)

Below is a pattern of trees in stages 1-3 below. 

1. Draw what you think stage 4 might look like. 

2. Draw or describe what you think stage 10 might look like. 

3. Label how many trees are in each stage.

4. Try to write an expression to describe the relationship between the stage number n and the number of trees T.

Activity Set 5

Balance (Source: https://openupresources.org/math-curriculum/)

Here is a balanced hanger.

1. Write an equation representing this hanger.

2. Find the weight of one circle. Show or explain how you found it.

Writing Equations (Source: https://openupresources.org/math-curriculum/)

Write an equation to represent each hanger.

Would You Rather (Source: https://www.wouldyourathermath.com/)

Whichever option you choose, justify your reasoning with mathematics. 

Activity Set 6

Equations (Source: https://openupresources.org/math-curriculum/)

Select all the equations that describe each situation and then find the solution.

1. Kiran’s backpack weighs 3 pounds less than Clare’s backpack. Clare’s backpack weighs 14 pounds. How much does Kiran’s backpack weigh?

1. x+3=14

2. 3x=14

3. x=14-3

4. x=143

2. Each notebook contains 60 sheets of paper. Andre has 5 notebooks. How many sheets of paper do Andre’s notebooks contain?

1. y=605

2. y=560

3. y5=60

4. 5y=60

Order of Operations (Source: https://www.openmiddle.com/)

Using the digits 1 to 5, at most one time each, place a digit in each box to create an expression with the largest possible value.

Scale (Source: https://brilliant.org/)

What weight will the fourth scale display?

Activity Set 7

Equations (Source: https://openupresources.org/math-curriculum/)

Solve each equation.

1. 2x=5

2. y+1.8=14.7

3. 6=12z

4. 314=12+w

5. 2.5t=10

Gold Chest (Source: https://brilliant.org/)

Exactly one of these chests contains gold, but only one of the four statements is true. Which chest must contain the gold?

Lots of Lollies (Source: https://wild.maths.org/)

Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over.

Just as they had finished sharing them, their friends Kishan, Hayley and Paul came along. They wanted some lollies too so the children shared them out again between all of them. This time they had two lollies left over.

How many lollies could there have been in the bag?

Activity Set 8

Which One Doesn’t Belong? (Source: wodb.ca) 

Choose a shape in this picture that you don’t think belongs with the rest. Explain why. Can you pick another shape and give a different reason? 

Solving One-Step Equation (Source: https://www.openmiddle.com/)

Use the digits 1 to 9, at most one time each, to create an equation where x has the greatest possible value.

Product (Source: https://openupresources.org/math-curriculum/)

Find each product.

1. (21.2)(0.02)

2. (2.05) (0.004)

Activity Set 9

Even and Odd (Source: https://brilliant.org/)

Can an even number, divided by another even number, times another even number ever equal an odd number? What are your thoughts?

Equations (Source: https://openupresources.org/math-curriculum/)

Solve each equation.

1. 4x=32

2. 4=32x

3. 10x=26

4. 26=100x

Visual Pattern (Source: visualpatterns.org)

Below is a pattern of pineapples in stages 1-3 below. 

1. Draw what you think stage 4 might look like. 

2. Draw or describe what you think stage 10 might look like. 

3. Label how many pineapples are in each stage.

4. Try to write an equation to describe the relationship between the stage number n and the number of pineapples P.

Activity Set 10

Fundraiser (Source: https://openupresources.org/math-curriculum/)

Write as many mathematical expressions or equations as you can about the image. Include a fraction, a decimal number, or a percentage in each.

Paint Mixture (Source: https://openupresources.org/math-curriculum/)

In a lilac paint mixture, 40% of the mixture is white paint, 20% is blue, and the rest is red. There are 4 cups of blue paint used in a batch of lilac paint. If you get stuck, consider using a tape diagram.

1. How many cups of white paint are used?

2. How many cups of red paint are used?

3. How many cups of lilac paint will this batch yield?

Would You Rather (Source: https://www.wouldyourathermath.com/)

Would you rather buy one 8-lb container of ice cream for $24.56, or two 3-lb 11-oz containers of ice cream for $23.60?

Whichever option you choose, justify your reasoning with mathematics. 

Activity Set 11

Writing Equations (Source: https://openupresources.org/math-curriculum/)

Here are some balanced hangers. Each piece is labeled with its weight.

For each diagram, write an equation and find the weight of a piece with a letter.

Fraction of an Amount (Source: https://www.openmiddle.com/)

Using the digits from 1 to 9, at most once, make as many true statements as possible.

Pentominoes (Source: https://brilliant.org/)

Activity Set 12

Equations (Source: https://openupresources.org/math-curriculum/)

Match each equation to one of the diagrams.

Gold Chest (Source: https://brilliant.org/)

What is the value of A?

Fraction Talk (Source: mathforlove.org)

What fraction of the big rectangle is each of the shaded parts?

Activity Set 13

Which One Doesn’t Belong? (Source: wodb.ca) 

Choose a square in this picture that you don’t think belongs with the rest. Explain why. Can you pick another square and give a different reason? 

Adding Multiple Decimals (Source: https://www.openmiddle.com/)

Use the digits 0 to 9, at most one time each, to fill in the boxes so that the sum is as close to 10 as possible.

Product (Source: https://openupresources.org/math-curriculum/)

A trash bin has a capacity of 50 gallons. What percentage of its capacity is each of the following? Show your reasoning.

1. 5 gallons

2. 30 gallons

3. 45 gallons

4. 100 gallons

Activity Set 14

Puzzle (Source: https://brilliant.org/)

If you arrange all five of the tiles below to make the statements in both boxes true, which box must the tile "3" be in?

Note: Product is the result of multiplication.

Visual Pattern (Source: visualpatterns.org)

Below is a pattern of cars in stages 1-3 below. 

1. Draw what you think stage 4 might look like. 

2. Draw or describe what you think stage 10 might look like. 

3. Label how many cars are in each stage.

4. Try to write an equation to describe the relationship between the stage number n and the number of cars C.

Percents Practice (Source: https://openupresources.org/math-curriculum/)

Noah raised $54 to support the animal shelter, which is 60% of his fundraising goal. 

1. Write an equation to represent the situation.

2. What is Noah's fundraising goal? Show or explain how you found it.

3. A crew has paved 3/4 of a mile of road. If they have completed 50% of the work, how long is the road they are paving?

Activity Set 15

Percent Of (Source: https://openupresources.org/math-curriculum/)

Answer each question. Show your reasoning.

1. 20% of a is 11. What is a?

2. 75% of b is 12. What is b?

3. 80% of c is 20. What is c?

4. 200% of d is 18. What is d?

Expressions(Source: https://openupresources.org/math-curriculum/)

Here is a list of expressions. Find any pairs of expressions that are equivalent. If you get stuck, try reasoning with diagrams.

Puzzle (Source: https://www.solvemoji.com/)

What is the value of the last row?

Activity Set 16

Story Problems (Source: https://openupresources.org/math-curriculum/)

For each story problem, write an equation to represent the problem and then solve the equation. Be sure to explain the meaning of any variables you use.

1. Jada’s dog was  inches tall when it was a puppy. Now her dog is  inches taller than that. How tall is Jada’s dog now?

2. Lin picked  pounds of apples, which was 3 times the weight of the apples Andre picked. How many pounds of apples did Andre pick?

Fraction Division (Source: https://www.openmiddle.com/)

Use the digits 0 through 9, without repeats, to solve the problem below.

Surface Area (Source: https://brilliant.org/)

27 unit cubes are packed together to create this 3 x 3 x 3  cube. Each face of a unit cube has an area of 1. If all 8 of the corner cubes are removed, by how much will the surface area of the figure increase?

Activity Set 17

Distributive Property (Source: https://openupresources.org/math-curriculum/)

Select all the expressions that represent the area of the large, outer rectangle.

Puzzle (Source: https://brilliant.org/)

Arrange the six tiles below to make the statements in all three boxes true. When you're finished, which tile is in the same box as 5?

Fraction Talk (Source: mathforlove.org)

What fraction of the big rectangle is the region marked X?

Activity Set 18

Which One Doesn’t Belong? (Source: wodb.ca) 

Choose a number in this picture that you don’t think belongs with the rest. Explain why. Can you pick another number and give a different reason? 

Percent Of (Source: https://www.openmiddle.com/)

Using the digits 0 to 9 at most one time each, fill in the boxes to create a correct sentence:

Expressions (Source: https://openupresources.org/math-curriculum/)

Select all the expressions that are equivalent to 4b.

Activity Set 19

Triangles (Source: https://brilliant.org/)

Every small, shaded triangle in the design below is the same size. What is the side length of one of the small, shaded triangles?

Visual Pattern (Source: visualpatterns.org)

Below is a pattern of cylinders in stages 1-3 below. 

1. Draw what you think stage 4 might look like. 

2. Draw or describe what you think stage 10 might look like. 

3. Label how many cylinders are in each stage.

4. Try to write an equation to describe the relationship between the stage number n and the number of cylinders C.

Solving Equations (Source: https://openupresources.org/math-curriculum/)

Solve each equation. Show your reasoning.

Activity Set 20

Exponents (Source: https://openupresources.org/math-curriculum/)

Select all the expressions that are equivalent to 34.

Equations (Source: https://openupresources.org/math-curriculum/)

Decide whether each equation is true or false, and explain how you know.

Puzzle (Source: https://www.solvemoji.com/)

What is the value of the last row?