FAST Grade 7 Math study plan

Add, subtract, multiply, and divide positive and negative integers and rational numbers without a calculator, showing sign rules explicitly

Convert between fractions, decimals, and percents for at least 20 values and verify each conversion by reversing it

Evaluate powers with integer bases and positive exponents, including cases where the base is negative and the exponent is even or odd

Set up and solve unit-rate problems by writing the rate as a fraction and scaling it to the requested quantity

Explain in writing why dividing by a fraction is equivalent to multiplying by its reciprocal, using one worked numeric example

Solve percent problems in all three forms (find the part, find the whole, find the percent) using a proportion or an equation

Compute percent increase and percent decrease, including markups, discounts, tax, tip, and simple interest

Identify the constant of proportionality in tables, graphs, equations, and verbal descriptions

Distinguish proportional from non-proportional relationships by testing whether the ratio y/x stays constant and whether the graph passes through the origin

Write and use the equation y = kx to answer a question about a real rate such as speed, unit price, or scale

Apply the product, quotient, power, and zero exponent rules to simplify expressions and justify each step by naming the rule used

Write integer and decimal numbers in scientific notation and convert back, including choosing the correct exponent sign for very small numbers

Simplify linear expressions by combining like terms and applying the distributive property, including expressions with negative coefficients

Translate verbal phrases into algebraic expressions, correctly handling subtraction order and division phrasing

Evaluate an expression for a given value of the variable, substituting negative values with parentheses

Solve two-step and multi-step linear equations with rational coefficients and verify each solution by substitution

Solve equations that require distributing and combining like terms on one or both sides

Solve and graph one-variable inequalities, reversing the inequality symbol when multiplying or dividing by a negative number

Interpret a solution set in context and state whether a given value is a solution to an inequality

Write a linear equation or inequality from a word problem and identify what the variable represents

Compute circumference and area of circles given radius or diameter, using both 3.14 and pi notation, and label units correctly

Use scale drawings to find actual lengths and areas, including converting between drawing units and real units

Find the area of triangles, quadrilaterals, and composite figures by decomposing shapes and showing the sub-areas

Identify and use angle relationships: complementary, supplementary, vertical, and adjacent angles, and angles formed by parallel lines cut by a transversal

Solve multi-step angle problems by writing and solving an equation for the unknown angle measure

Compute the surface area of prisms, pyramids, and cylinders by sketching and summing the individual faces

Compute the volume of prisms, cylinders, pyramids, and cones and explain the factor relationship between a prism and a pyramid with the same base and height

Classify a data set as symmetric or skewed and describe its center and spread using mean, median, mode, range, and mean absolute deviation

Determine whether a sample is random and representative, and identify the population from which it was drawn

Use a sample to make a prediction about a population and state the assumption that makes the prediction valid

Build a sample space for a compound event using a list, table, or tree diagram and count the favorable outcomes

Compute theoretical probability of simple and compound events and express it as a fraction, decimal, and percent

Compare experimental probability from a simulation with theoretical probability and explain the difference in terms of sample size

Use a probability model to predict the number of times an outcome occurs in a given number of trials

Identify whether a game or model is fair by comparing expected outcomes

Complete two full-length timed practice tests under exam conditions and record the score by domain

Rank your five domains by accuracy from the practice tests and re-teach the two weakest with fresh worked examples

Rebuild your reference sheet from memory and check it against your earlier notes for gaps

Practice the highest-frequency item types from each domain until you can complete each in under 90 seconds