To create a custom lesson, click on the check boxes of the files you’d like to add to your
lesson and then click on the Build-A-Lesson button at the top. Click on the resource title to View, Edit, or Assign it.
AR.Math.Content.7.EE.Expressions and Equations
Expressions and Equations
AR.Math.Content.7.EE.A. Use properties of operations to generate equivalent expressions.
AR.Math.Content.7.EE.A.1. Apply properties of operations as strategies to add, subtract, expand, and factor linear expressions with rational coefficients.
AR.Math.Content.7.EE.A.2. Understand how the quantities in a problem are related by rewriting an expression in different forms. For example: a + 0.05a = 1.05a means that "increase by 5%" is the same as "multiply by 1.05". or the perimeter of a square with side length s can be writ
AR.Math.Content.7.EE.B. Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
AR.Math.Content.7.EE.B.3. Solve multi-step, real-life, and mathematical problems posed with positive and negative rational numbers in any form using tools strategically. Apply properties of operations to calculate with numbers in any form (e.g., -(1/4)(n-4)). Convert between forms
AR.Math.Content.7.EE.B.4. Use variables to represent quantities in a real-world or mathematical problem. Construct simple equations and inequalities to solve problems by reasoning about the quantities.
AR.Math.Content.7.EE.B.4.A. Solve word problems leading to equations of these forms px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently.
Quiz, Flash Cards, Worksheet, Game & Study GuideUsing Integers
AR.Math.Content.7.EE.B.4.C. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers.
AR.Math.Content.7.EE.B.4.D. Graph the solution set of the inequality and interpret it in the context of the problem (e.g., As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you n
AR.Math.Content.7.G.A. Draw construct, and describe geometrical figures and describe the relationships between them.
AR.Math.Content.7.G.A.1. Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
AR.Math.Content.7.G.B. Solve real-life and mathematical problems involving angle measure, area, surface area and volume.
AR.Math.Content.7.G.B.4. Know the formulas for the area and circumference of a circle and use them to solve problems. Give an informal derivation of the relationship between the circumference and area of a circle.
AR.Math.Content.7.G.B.5. Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.
Quiz, Flash Cards, Worksheet, Game & Study GuideFinding Volume
AR.Math.Content.7.NS.The Number System
The Number System
AR.Math.Content.7.NS.A. Apply and extend previous understandings of operations with fractions.
AR.Math.Content.7.NS.A.1. Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
AR.Math.Content.7.NS.A.1.A. Describe situations in which opposite quantities combine to make 0 and show that a number and its opposite have a sum of 0 (additive inverses) (e.g., A hydrogen atom has 0 charge because its two constituents are oppositely charged.).
AR.Math.Content.7.NS.A.1.B. Understand p + q as a number where p is the starting point and q represents a distance from p in the positive or negative direction depending on whether q is positive or negative.
AR.Math.Content.7.NS.A.1.C. Interpret sums of rational numbers by describing real-world contexts (e.g., 3 + 2 means beginning at 3, move 2 units to the right and end at the sum of 5. 3 + (-2) means beginning at 3, move 2 units to the left and end at the sum of 1. 70 + (-30) = 40 cou
AR.Math.Content.7.NS.A.1.E. Show that the distance between two rational numbers on the number line is the absolute value of their difference and apply this principle in real-world contexts. (e.g., The distance between -5 and 6 is 11. -5 and 6 are 11 units apart on the number line.)
AR.Math.Content.7.NS.A.2. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
AR.Math.Content.7.NS.A.2.A. Understand that multiplication is extended from fractions to all rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, and the rules for multiplying signed numbers.
AR.Math.Content.7.NS.A.2.C. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number (e.g., If p and q are integers, then -(p/q) = (-p)/q = p/(-q). ).
AR.Math.Content.7.RP.Ratios and Proportional Relationships
Ratios and Proportional Relationships
AR.Math.Content.7.RP.A. Analyze proportional relationships and use them to solve real-world and mathematical problems.
AR.Math.Content.7.RP.A.1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units. For example: If a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction (
AR.Math.Content.7.RP.A.2. Recognize and represent proportional relationships between quantities.
AR.Math.Content.7.RP.A.2.B. Identify unit rate (also known as the constant of proportionality) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
AR.Math.Content.7.RP.A.3. Use proportional relationships to solve multi-step ratio and percent problems. Note: Examples include but are not limited to simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease.
AR.Math.Content.7.SP.A. Use random sampling to draw inferences about a population.
AR.Math.Content.7.SP.A.1. Understand that: Statistics can be used to gain information about a population by examining a sample of the population. Generalizations about a population from a sample are valid only if the sample is representative of that population. Random sampling ten
AR.Math.Content.7.SP.A.2. Use data from a random sample to draw inferences about a population with a specific characteristic. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. For Example: Estimate the mean word l
AR.Math.Content.7.SP.C. Investigate chance processes and develop, use, and evaluate probability models.
AR.Math.Content.7.SP.C.5. Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor
AR.Math.Content.7.SP.C.6. Collect data to approximate the probability of a chance event. Observe its long-run relative frequency. Predict the approximate relative frequency given the probability. For example: When rolling a number cube 600 times, predict that a 3 or 6 would be rol
AR.Math.Content.7.SP.C.7. Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.
AR.Math.Content.7.SP.C.7.A. Develop a uniform probability model, assigning equal probability to all outcomes, and use the model to determine probabilities of events (e.g., If a student is selected at random from a class of 6 girls and 4 boys, the probability that Jane will be select
AR.Math.Content.7.SP.C.7.B. Develop a probability model, which may not be uniform, by observing frequencies in data generated from a chance process (e.g., Find the approximate probability that a spinning penny will land heads up or that a tossed paper cup will land open-end down. Do
AR.Math.Content.7.SP.C.8. Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
AR.Math.Content.7.SP.C.8.A. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.