7th Grade Math Boot Camp

discover how to add numbers with the same sign using the number line, counters, and simple rules to keep the sign for positive and negative sums.

Explore how to add numbers with different signs using number lines, color-coded markers, and counters, then apply the two rules: subtract and keep the sign of the bigger number.

Master subtracting positive and negative numbers across four problem types, applying rules for subtracting negatives and keeping the sign of the larger number, with a quiz.

Learn to solve multi-step problems by solving in order or by combining like terms, using addition and subtraction of integers, with word problems involving temperature and money.

Multiply numbers by applying same-sign and different-sign rules, and identify positive or negative products. Learn to use a number line or markers to model these multiplication ideas.

Demonstrates how to multiply using the standard algorithm, with carrying and place-value holds, and applies to two- and three-digit problems such as 475×6, 37×82, and 45×271.

Divide numbers by applying same sign rules as multiplication, determine quotients, and use a number line or markers before previewing long division.

Practice long division with four examples, applying division, multiplication, subtraction, and bringing down digits to reach an answer; recognize when results are whole numbers and note fractions and decimals later.

Master multi-step word problems by translating them into mathematical expressions and applying pemdas, so multiplication and division precede addition and subtraction under the order of operations.

Practice three problems on division to compute days to save, unit rate for miles per gallon, and profits from ice cream sales, preparing for the quiz.

Explore rational numbers, terminating and repeating decimals, and irrational numbers; learn to convert fractions to decimals and decimals to fractions using place value and simplification.

Learn to add decimals by lining up decimal points and matching place values, using zero padding for alignment, and avoiding common mistakes across multiple decimals.

Learn how to add fractions by finding a common denominator, using cross-multiplication for unlike denominators, and simplifying or converting results to mixed numbers or decimals when appropriate.

Learn to subtract decimals by lining up the decimals, borrowing as needed, and aligning place values with zeros to avoid common mistakes and ensure correct answers.

Subtract fractions by obtaining a common denominator, then subtract and simplify. Use examples like 5/6 minus 2/6 and 5/6 minus 1/4, noting you won’t end up with an improper fraction.

Multiply decimals by treating them as whole numbers, then place the decimal point according to the total digits behind the decimal. You can also use a calculator for quick results.

Multiply fractions by multiplying numerators and denominators, then simplify by factoring to cancel common factors, as shown with 2/5 × 3/7 and another example.

Learn to divide decimals using long division by moving the decimal, with examples like 0.5 divided by 8 and 20 divided by 1.25, and verify with multiplication.

Apply keep change flip to divide fractions, keep the first fraction, flip and multiply the second, and simplify or convert results to a mixed number as needed.

Master multi-step problems with decimals and fractions by adding fractions with a common denominator, converting between fractions and decimals, and dividing the total to share fairly.

Learn to convert rates to unit rates by dividing numerator by denominator, turning miles per four hours into miles per hour, and compare unit rates to find the best deal.

Learn to identify proportional relationships using cross multiplication, determine the unit rate, and express the relation as y = kx with real-world tables and examples and constant rate of change.

Review coordinate planes by creating and plotting ordered pairs on the x and y axes, practicing how to locate points and interpret simple charts through dollar-earnings examples.

Plot and interpret proportional relationships by graphing distance versus time for a train at 20 miles per hour, identifying the unit rate and drawing a line through plotted points.

Derive equations from graphs by finding the constant rate of change and unit rate k in y = kx, then verify with points; identify when a graph is not proportional.

Master converting decimals to percentages and percentages to decimals, and compute a percent of a number by converting to a decimal and multiplying.

Learn to compute percent change by dividing the change by the original amount and multiplying by 100, using a salary raise, a jacket sale, and weight gain as examples.

Explore how to compute markup, tax, tips, and increases in totals using percent changes and decimals. Practice belt tax, paper markup, dinner tip, and points increase examples.

Calculate decreases, discounts, and sales by converting percentages to decimals and applying them to original prices, as shown with a computer, blue yarn, and a television.

Explore simple interest by converting percent to decimal and applying time, with examples using 400, 200, and 100 dollar investments to find interest and totals.

Explore multi-step percentage problems by solving discount and sales tax scenarios, turning percent into decimals and applying two-step calculations to real-world prices.

Translate expressions by identifying operation keywords such as plus, minus, times, and divided, and form expressions like 400 + 70h and n/6 - 3.

Simplify expressions by combining like terms and applying the distributive property, turning messy expressions into compact forms such as 5x+2.2, -11x+4y, and 14x-10.

Factor expressions by pulling out a common factor using the greatest common factor and the distributive property, turning 6-3x into 3(2−x) and 5x+5 into 5(x+1).

Master one-step equations in the 7th grade math boot camp by using the opposite operation and keeping sides balanced; solve for X and Y with addition, subtraction, multiplication, and division.

Translate two-step equations from English to algebra by identifying the variable, important information, and keywords to form the expression.

Learn to solve two-step equations by isolating the variable, attacking outer terms first, and using opposite operations. Practice with examples like g/2-10=22 and 3g+15=54, and verify by substitution.

Solve inequalities with addition and subtraction and plot the solution on a number line, using open circles for not including the boundary and solid dots for including.

Learn how to solve inequalities by multiplying or dividing, including flipping the inequality when using negative numbers, and apply these rules to practice problems.

Translate inequalities from word problems by identifying the variable and keywords like at least, more than, and no more than through four examples, then choose the correct inequality symbol.

Solve two-step inequalities and graph the solutions on a number line. Practice four examples, applying add/subtract before multiply/divide and flipping the inequality when dividing by a negative.

Measure angles with a protractor by aligning the vertex with the origin, placing a side on zero, and counting to the degree. Handle straight-line angles by choosing the correct side.

Explore the five types of angles—congruent, vertical, adjacent, complementary, and supplementary—and learn their relationships for solving basic algebra.

Calculate areas using base times height for rectangles, parallelograms, and squares. Find triangles' areas with one-half base times height, including equilateral and right triangles.

Explore scale drawings, solving with unit rates and proportions, and apply similar triangles and scale multipliers to convert drawing sizes to real heights in architecture.

Explore circle fundamentals by identifying the center, radius, and diameter, then apply pi to calculate circumference and area from a given radius or diameter.

Master finding areas of composite figures by breaking shapes into rectangles, triangles, and semicircles, then adding their areas. Use base, height, and diameter to compute the total.

Explore surface area calculations for rectangular and triangular prisms using formulas and nets, verifying totals like 148 and 111, and prep for volume.

Calculate volume for rectangular prisms by base area times height and for triangular prisms as half base times height, then multiply by the prism height; volume measures space inside.

Explore populations and samples in statistics, distinguishing random samples from biased ones. Learn how survey questions and sample selection bias affect data accuracy, with examples from seventh grade contexts.

Use proportions to estimate population outcomes from a sample, such as study hours and pet ownership, then learn to compute the interquartile range and build a box plot using quartiles.

Explore dot plots to analyze data spread and calculate the mean, median, and range, using examples to interpret distribution.

Compare two data sets with the same mean but different volatility, then calculate the mean of absolute deviations from the mean to measure consistency.