Math in Grade 7

Grade 7 Mathematics Course adheres to the principles that require our students to focus on fewer topics, in order to form deeper understandings, gain greater skill and fluency, and more robustly apply what is learned. Focus in this course implies, giving our students an opportunity to understand concepts and practice with them in order to reach a deep and fluent understanding. Coherence in this course means progressions that span grade levels to build students’ understanding of ever more sophisticated mathematical concepts and applications. In addition, ‘Rigor’ in this course means a combination of fluency exercises, chains of reasoning, abstract activities, and contextual activities throughout the module.

 

UNIT 1: RATIOS AND PROPORTIONAL RELATIONSHIPS

Analyze proportional relationships and use them to solve real-world and mathematical problems. 

  •  Rates
  • Solving Proportions
  • Proportional Relationships
  • Graphing Proportional Relationships
  • Solving percent problems using proportional reasoning

UNIT 2: THE NUMBER SYSTEM

UNIT 3: THE NUMBER SYSTEM

 Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. 

  • Adding rational numbers
  • Subtracting rational numbers
  • Multiplying rational numbers 
  • Dividing rational numbers
  • Terminating and Repeating Decimals
  • Solving Problems with Rational Numbers
  • Estimation

UNIT 4: EXPRESSIONS AND EQUATIONS

UNIT 5: EXPRESSIONS AND EQUATIONS

Use properties of operations to generate equivalent expressions. • Solve real-life and mathematical problems using numerical and algebraic expressions and equations. 

  • Equivalent Expressions
  • Simplifying Expressions
  • Adding and Subtracting Expressions
  • Factoring Expressions
  • Writing Equations and Inequalities
  • Solving Equations
  • Solving Inequalities

UNIT 6: GEOMETRY

UNIT 7: GEOMETRY

Draw, construct and describe geometrical figures and describe the relationships between them.

Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

  • Scale Drawings
  • Changing scale drawings
  • Constructing triangles
  • Cross Sections
  • Angle Relationships
  • Circumference and Area
  • Surface Area
  • Volume

UNIT 8: Statistics and Probability

Use random sampling to draw inferences about a population. 

 Draw informal comparative inferences about two populations. 

Investigate chance processes and develop, use, and evaluate probability models. 

  • Box Plots
  • Comparing Distributions
  • Compound Probability