![]() ![]() Represent a fraction a / b on a number line diagram by marking off a lengths 1/ b from 0. Recognize that each part has size 1/ b and that the endpoint of the part based at 0 locates the number 1/ b on the number line. Represent a fraction 1/ b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Understand a fraction as a number on the number line represent fractions on a number line diagram. ![]() Understand a fraction 1/ b as the quantity formed by 1 part when a whole is partitioned into b equal parts understand a fraction a / b as the quantity formed by a parts of size 1/ b. Systems of equations with substitution: y=4x-17.5 & y+2x=6.Develop understanding of fractions as numbers. Systems of equations with substitution: y=-5x+8 & 10x+2y=-2 Systems of equations with substitution: y=-1/4x+100 & y=-1/4x+120 Systems of equations with substitution: 9x+3y=15 & y-x=5 Systems of equations with substitution: 2y=x+7 & x=y-4 Systems of equations with substitution: -3x-4y=-2 & y=2x-5 Systems of equations with graphing: y=7/5x-5 & y=3/5x-1 Systems of equations with graphing: exact & approximate solutions Systems of equations with graphing: chores Systems of equations with graphing: 5x+3y=7 & 3x-2y=8 Slope-intercept equation from slope & point Simplifying in scientific notation challenge Scientific notation word problem: speed of light Scientific notation word problem: red blood cells Recognizing functions from verbal description word problem Recognizing functions from verbal description Rational number word problem: checking account Rates & proportional relationships: gas mileage Rates & proportional relationships example Modeling with linear equations: gym membership & lemonade Linear & nonlinear functions: word problem Linear & nonlinear functions: missing value Introduction to proportional relationships Intro to equations with variables on both sides Interpreting linear expressions: diamonds Identifying the constant of proportionality from equation Identifying proportional relationships from graphs Graphing proportional relationships: unit rate Graphing proportional relationships from an equation Graphing proportional relationships from a table ![]() graphĬomparing linear functions: faster rate of changeĬomparing linear functions: same rate of changeĬompleting solutions to 2-variable equationsĬreating an equation with infinitely many solutionsĭoes a vertical line represent a function?Įquation with the variable in the denominatorĮquation with variables on both sides: fractionsĮquations with variables on both sides: 20-7x=6x-6 Writing proportional equations from tablesĬhecking if a table represents a functionĬhecking if an equation represents a functionĬomparing linear functions word problem: climbĬomparing linear functions word problem: walkĬomparing linear functions word problem: workĬomparing linear functions: equation vs. Two-step equations with decimals and fractions Testing solutions to inequalities (basic) Number of solutions to equations challenge Interpreting graphs of proportional relationships Interpret two-step equation word problems Identify proportional relationships from graphs Graphing linear relationships word problems Substitution method review (systems of equations)Īdding & subtracting in scientific notationĬombining like terms with negative coefficientsĬombining like terms with negative coefficients & distributionĬombining like terms with rational coefficientsĬomplete solutions to 2-variable equationsĬreate equivalent expressions by factoringĭistributive property with variables (negative numbers)Įquations with parentheses: decimals & fractionsĮquations with square roots: decimals & fractionsĮquations with variables on both sides: decimals & fractionsĮquivalent expressions: negative numbers & distributionįactor with distributive property (variables) Modeling with tables, equations, and graphs Intercepts of lines review (x-intercepts and y-intercepts) Graphing lines from slope-intercept form review You can see exactly what content items we’ve added and removed below. Most people will see a much smaller Mastery percentage change. With this specific course update, we expect that Mastery percentages will change by a maximum of 61%. This change would change your Mastery percentage from 90% to 82%. For example, if you mastered 90 out of 100 skills in a course, and we added 10 new skills, your mastery skill count would then be 90 out of 110. When we add new content and remove old content, Mastery percentages often change because the number of available skills changes. One consequence of adding this new content is that it may impact learners’ Mastery percentages. We are excited to share that we've made significant enhancements to our Pre-Algebra. ![]()
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