Common Core State Standards for Mathematics Correlation

Grade 7 - Expressions & Equations

Common Core Standard Correlating FIM Activities

Use properties of operations to generate equivalent expressions.

CCSS.Math.Content.7.EE.A.1

Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

Skill Set 8: Game 1, Game 2, Game 3

Know & Show 7&8: Missing Links

Bonus 7: Algebra More or Less, Xtreme Algebra

CCSS.Math.Content.7.EE.A.2

Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that "increase by 5%" is the same as "multiply by 1.05."

Skill Set 8: Game 2, Game 3

Bonus 7: Xtreme Algebra

These First in Math activities integrate several standards within the above cluster.

Know & Show 7&8: Numbers Zoo, Yakity Yak, Get a Clue

Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

CCSS.Math.Content.7.EE.B.3

Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.

Skill Set 6: Game 1, Game 2, Game 3

Skill Set 7: Game 1, Game 2, Game 3

Know & Show 7&8: Yakity Yak, You Rule, Get a Clue, Missing Links

Bonus 6: Monuji's Path

Measurement World: Area/Perimeter

CCSS.Math.Content.7.EE.B.4

Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

  • Solve word problems leading to equations of the form px+q=r and p(x+q) =r, where p,q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
  • Solve word problems leading to inequalities of the form px+q>r or px+q<r, where p,q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.

Skill Set 8: Game 2, Game 3

Bonus 7: Algebra More or Less

These First in Math activities integrate several standards within the above cluster.

Know & Show 7&8: Yakity Yak, Get a Clue, Picture This, Missing Links