Week of July 10 
MGSE.EE Standards
(uNDER cONSTRUCTION)
Expression, equations, and functions are the foundation of Algebra.
It is where math gets fun! (In my opinion... ☺)
It is where math gets fun! (In my opinion... ☺)
Rising 7th Graders
MGSE6.EE.2b Notes
MGSE6.EE.2b Video Click on the standard to view notes and an instructional video. MGSE6.EE.2c Video 1
MGSE6.EE.2c PowerPoint MGSE6.EE.2c Video 2 Click on the standard to view notes and an instructional video. The PowerPoint should be viewed in show mode. Practice Questions Practice Questions Practice Questions MGSE6.EE.3,4 PowerPoint
MGSE6.EE.3,4 Video 1 Click on the standard to view an instructional powerpoint. You need to watch it in "Show Mode." Practice Questions Practice Questions MGSE6.EE.4 LCM
MGSE6.EE.4 GCF MGSE6.EE.4 Word Problems MGSE6.EE.4 Dist Prop Click on the standard to view instructional videos or to view an instructional powerpoint. You need to watch it in "Show Mode.". Practice Questions Practice Questions MGSE6.EE.5 Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true
MGSE6.EE.6 Use variables to represent numbers and write expressions when solving a realworld or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set
MGSE6.EE.7 Solve realworld and mathematical problems by writing and solving equations of the form 𝑥 + 𝑝 = 𝑞 and 𝑝𝑝 = 𝑞 for cases in which p, q and x are all nonnegative rational numbers.
MGSE6.EE.8 Write an inequality of the form 𝑥 > 𝑐 or 𝑥 < 𝑐 to represent a constraint or condition in a realworld or mathematical problem. Recognize that inequalities of the form 𝑥 > 𝑐 or 𝑥 < 𝑐 have infinitely many solutions; represent solutions of such inequalities on number line diagrams.
MGSE6.9a Use variables to represent two quantities in a realworld problem that change in relationship to one another. a. Write an equation to express one quantity, the dependent variable, in terms of the other quantity, the independent variable
MGSE6.EE.9b Use variables to represent two quantities in a realworld problem that change in relationship to one another. a. Write an equation to express one quantity, the dependent variable, in terms of the other quantity, the independent variable. b. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation 𝑑 = 65𝑡 to represent the relationship between distance and time.

Rising 8th Graders
MGSE7.EE.1
MGSE7.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. Click on the standard to view an instructional powerpoint. You need to watch it in "Show Mode." Practice Questions MGSE7.EE.2 Understand that rewriting an expression in different forms in a problem context can clarify the problem and how the quantities in it are related. For example a + 0.05a = 1.05a means that adding a 5% tax to a total is the same as multiplying the total by 1.05.
MGSE7.EE.2 Click on the standard to view an instructional video. Practice Questions MGSE7.EE.3
MGSE7.EE.3 Solve multistep reallife and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals) by applying properties of operations as strategies to calculate with numbers, converting between forms as appropriate, and assessing the reasonableness of answers using mental computation and estimation strategies. Click on the questions below to practice word problems. Practice Questions Practice Questions MGSE8.EE.1
MGSE7.EE.4a Solve word problems leading to equations of the form 𝑝𝑝 + 𝑞 = 𝑟 and 𝑝(𝑥 + 𝑞) = 𝑟, where 𝑝, 𝑞, and 𝑟 are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width? Click on the standard to view an instructional video. Practice Questions MGSE8.EE.2
MGSE7.EE.4b Solve word problems leading to inequalities of the form 𝑝𝑝 + 𝑞 > 𝑟 or 𝑝𝑝 + 𝑞 < 𝑟, where 𝑝, 𝑞, and 𝑟 are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example, 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 need to make, and describe the solutions. Click on the standard to view an instructional video. Practice Questions MGSE7.EE.4c Solve realworld and mathematical problems by writing and solving equations of the form x+p = q and px = q in which p and q are rational numbers.
MGSE8.EE.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 × 3(–5) = 3(–3) = 1/(33 ) = 1/27.
MGSE8.EE.2 Use square root and cube root symbols to represent solutions to equations. Recognize that x 2 = p (where p is a positive rational number and lxl < 25) has 2 solutions and x3 = p (where p is a negative or positive rational number and lxl < 10) has one solution. Evaluate square roots of perfect squares < 625 and cube roots of perfect cubes > 1000 and < 1000.
MGSE8.EE.3 Use numbers expressed in scientific notation to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 × 108 and the population of the world as 7 × 109 , and determine that the world population is more than 20 times larger.
MGSE8.EE.4 Add, subtract, multiply and divide numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Understand scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g. use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology (e.g. calculators).
MGSE8.EE.5 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distancetime graph to a distancetime equation to determine which of two moving objects has greater speed.
MGSE8.EE.6 Use similar triangles to explain why the slope m is the same between any two distinct points on a nonvertical line in the coordinate plane; derive the equation 𝑦 = 𝑚𝑚 for a line through the origin and the equation 𝑦 = 𝑚𝑚 + 𝑏 for a line intercepting the vertical axis at b.
MGSE8.EE.7a Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form 𝑥 = 𝑎, 𝑎 = 𝑎, or 𝑎 = 𝑏 results (where 𝑎 and 𝑏 are different numbers).
MGSE8.EE.7b Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
MGSE8.EE.8a Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
MGSE8.EE.8b Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3𝑥 + 2𝑦 = 5 and 3𝑥 + 2𝑦 = 6 have no solution because 3𝑥 + 2𝑦 cannot simultaneously be 5 and 6.
MGSE8.EE.8c Solve realworld and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.
