7th Grade Math
Prerequisite Skills
 Ps2- prime factorization
 Ps3 greatest common factor
 Ps4- Simplifying fractions
 Ps5- least common multiple
 Ps6- plotting points
 Ps7- measuring and drawing angles
 Ps8- classifying angles
 Ps9- triangles
 Ps10- classifying quadrilaterals
 Ps11- probability of simple events
 Ps12- perimeter and area of rectangles
 Ps13- area of parallelograms, triangles, and trapezoids
Chapter 1 – Integers
 1 – plan for problem solving
 2 – variables, expressions, and properties
 3 – integers and absolute values
 4 – adding integers
 5 – subtracting integers
 6 – multiplying and dividing integers
 7 – writing equations
 8 – PSI work backward
 9 – solving addition and subtraction equations
 10 – solving multiplication and division problems
Chapter 2 – Rational Numbers
 1 – rational numbers
 2 – comparing and ordering rational numbers
 3 – multiplying positive and negative fractions
 4 – dividing positive and negative fractions
 5 – adding and subtracting like fractions
 6 – adding and subtracting unlike fractions
 7 – solving equations with rational numbers
 8 – PSI look for a pattern
 9 – powers and exponents
 10 – scientific notation
Chapter 3 – Real Numbers and the Pythagorean Theorem
 1 – Square roots
 2 – estimating square roots
 3 – PSI venn diagram
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4 – the real number system
5 – the Pythagorean theorem
6 – using the Pythagorean theorem
7 – geometry: distance on the coordinate plane
Chapter 4 – Proportions and Similarities
 1 – ratios and rates
 2 – proportional and nonproportional relationships
 3 – solving proportions
 4 – PSI drawing a diagram
 5 – similar polygons
 6 – measurement: converting length, mass, capacity, and time
 7 – measurement: converting square and cubic units
 8 – scale: drawing and models
 9 – rate of change
 10 – constant rate of change
Chapter 5 – Percents
 1 – ratios and percents
 2 – comparing fractions, decimals, and percents
 3 – algebra: the percent proportion
 4 – finding percents mentally
 5 – PSI reasonable answers
 6 – percent and estimation
 7 – algebra: the percent equation
 8 – percent of change
 9 – simple interest
Chapter 6 – Geometry and Spatial Reasoning
 1 – line and angle relationship
 2 – PSI logical reasoning
 3 – polygons and angles
 4 – congruent polygons
 5 – symmetry
 6 – reflections
 7 – translations
Chapter 7 – Area and Volume
 1 – circumference of area of circles
 2 – PSI solve a simpler problem
 3 – area of complex figures
 4 – three-dimensional figures
 5 – volume of prisms and cylinders
 6 – volume of pyramids and cones
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7 – surface area of prisms and cylinders
8 – surface area of pyramids
9 – similar solids
Chapter 8 – Algebra: More equations and inequalities
 1 – simplifying algebraic expressions
 2 – solving two-step equations
 3 – writing two-step equations
 4 – solving equations with variables on each side
 5 – PSI guess and check
 6 – inequalities
 7 – solving inequalities by adding and subtracting
 8 – solving inequalities by multiplying and dividing
Chapter 9 – Algebra: Linear Equations
 1 – functions
 2 – representing linear functions
 3 – slope
 4 – direct variation
 5 – slope-intercept form
 6 – writing systems of equations and inequalities
 7 – PSI use a graph
 8 – scatter plots
Chapter 10 – Nonlinear functions and polynomials
 1 – linear and nonlinear functions
 2 – graphing quadratic functions
 3 – PSI making a model
 4 – graphing cubic functions
 5 – multiplying monomials
 6 – dividing monomials
 7 – powers of monomials
 8 – roots of monomials
Chapter 11 – Statistics
 1 – PSI make a table
 2 – histograms
 3 – circle graphs
 4 – measure of central tendency and range
 5 – measure of variation
 6 – box-and-whisker plots
 7 – stem-and-leaf plots
 8 – select an appropriate display
Chapter 12 – Looking ahead to grade 8: Probability
 1 – counting outcomes
 2 – probability of compound events
 3 – experimental and theoretical probability
 4 – PSI act it out
 5 – using sampling to predict