Unit Rates
Students learn to compute unit rates, including ratios of fractions, to compare situations.
Seventh grade is the proportional-reasoning year. Students operate fluently with rational numbers and integers, work with proportional relationships and percent, solve two-step equations and inequalities, and move into probability, sampling, and the geometry of circles, angles, and scale.
The seventh-grade catalog covers The Number System, Ratios & Proportional Relationships, Expressions & Equations, Statistics & Probability, and Geometry — sequenced the way the standards build.
3 skill sheets in this strand for 7th grade.
Students learn to compute unit rates, including ratios of fractions, to compare situations.
Students learn to identify the constant of proportionality and write equations in y = kx form.
Students learn to solve percent problems, including percent of a number, increase, and decrease.
9 skill sheets in this strand for 7th grade.
Students learn to add integers using absolute value and sign rules, and show sums on a number line.
Students learn to subtract integers by rewriting each difference as adding the opposite.
Students learn to multiply integers using the rules for signs and explain why they work.
Students learn to divide integers and recognize when a quotient is positive or negative.
Students learn to add and subtract rational numbers in any form, including in real-world contexts.
Students learn to multiply and divide rational numbers, including fractions and decimals.
Students learn to describe opposite quantities and recognize that a number and its opposite sum to zero.
Students learn to convert between fractions, decimals, and percents, including repeating decimals.
Students learn to solve real-world problems using the four operations with rational numbers.
6 skill sheets in this strand for 7th grade.
Students learn to solve two-step inequalities, graph the solution, and interpret it in context.
Students learn to rewrite an expression in a different form to see a problem in a new way.
Students learn to solve multi-step problems with rationals in any form and check for reasonableness.
Students learn to combine like terms with rational coefficients to simplify expressions.
Students learn to expand and factor linear expressions using the distributive property.
Students learn to solve two-step equations and explain each step with properties of operations.
6 skill sheets in this strand for 7th grade.
Students learn to solve problems with scale drawings, computing actual lengths and areas.
Students learn to use complementary, supplementary, and vertical angles to find unknown angles.
Students learn to decide whether three side lengths can form a triangle and find the possible range.
Students learn to use formulas to find the circumference and area of a circle.
Students learn to describe the 2D cross sections that result from slicing 3D figures.
Students learn to solve area and volume problems with composite two- and three-dimensional figures.
8 skill sheets in this strand for 7th grade.
Students learn to compare experimental and theoretical probability and explain differences.
Students learn to develop probability models and use them to find the probability of events.
Students learn to find probabilities of compound events using lists, tables, and tree diagrams.
Students learn to describe the probability of an event with a number from 0 to 1.
Students learn to use random samples to draw inferences about a population.
Students learn to use data from a random sample to draw inferences about a whole population.
Students learn to compare two populations using measures of center and variability.
Students learn to compare two populations using measures of center and variability.
Grab a whole strand, a single topic, or the entire 7th-grade year at once — each a single download on Teachers Pay Teachers.
32 sheets
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