Foundations
Math Foundations
Quantitative fluency, pre-algebra reasoning, and the bridge skills students need before Math I.
60 objectives
Objective 001
MF.NS.1
Compare, order, and estimate whole numbers and decimals using place value and magnitude sense.
Objective 002
MF.NS.2
Estimate sums, products, quotients, and percent results, then judge whether an exact answer is reasonable.
Objective 003
MF.NS.3
Evaluate multi-step numerical expressions using order of operations, including grouping symbols and exponents.
Objective 004
MF.NS.4
Use commutative, associative, and distributive structure to rewrite and simplify numerical expressions efficiently.
Objective 005
MF.NS.5
Find factors, multiples, common factors, and common multiples to solve numerical and contextual problems.
Objective 006
MF.NS.6
Use divisibility rules, prime factorization, and factor structure to analyze and solve whole-number problems.
Objective 007
MF.RN.1
Generate, compare, and simplify equivalent fractions in numeric and contextual settings.
Objective 008
MF.RN.2
Add and subtract fractions and mixed numbers with appropriate common denominators.
Objective 009
MF.RN.3
Multiply and divide fractions and mixed numbers and interpret the result in context.
Objective 010
MF.RN.4
Compare and order rational numbers written as fractions, decimals, and percents.
Objective 011
MF.RN.5
Convert among fractions, decimals, and percents and choose the most useful form for a task.
Objective 012
MF.RN.6
Find a percent of a quantity and interpret the result in context.
Objective 013
MF.RN.7
Calculate percent increase and decrease and explain what the percent measures.
Objective 014
MF.RN.8
Solve discount, markup, tax, tip, and simple interest style percent problems.
Objective 015
MF.PR.1
Write, interpret, and compare ratios using words, symbols, tables, and diagrams.
Objective 016
MF.PR.2
Compute and interpret unit rates, including rates with fractional or decimal quantities.
Objective 017
MF.PR.3
Generate and justify equivalent ratios using scaling, tables, and diagrams.
Objective 018
MF.PR.4
Use ratio tables and double number lines to solve missing-value and scaling problems.
Objective 019
MF.PR.5
Determine whether a relationship is proportional from a table, graph, equation, or context.
Objective 020
MF.PR.6
Find and interpret the constant of proportionality in multiple representations.
Objective 021
MF.PR.7
Solve proportion equations and explain why the setup matches the context.
Objective 022
MF.PR.8
Use proportional reasoning to solve percent problems without relying on memorized templates alone.
Objective 023
MF.SN.1
Compare, order, and locate signed integers and rational numbers on a number line.
Objective 024
MF.SN.2
Add and subtract signed numbers and explain the meaning of the sign changes.
Objective 025
MF.SN.3
Multiply and divide signed numbers and interpret sign patterns correctly.
Objective 026
MF.SN.4
Interpret absolute value as distance and use it to compare quantities and errors.
Objective 027
MF.SN.5
Plot, read, and interpret points in all four quadrants on the coordinate plane.
Objective 028
MF.EQ.1
Translate verbal phrases and short contexts into algebraic expressions.
Objective 029
MF.EQ.2
Evaluate algebraic expressions correctly using substitution and order of operations.
Objective 030
MF.EQ.3
Combine like terms and simplify expressions while preserving structure.
Objective 031
MF.EQ.4
Use the distributive property to expand and factor simple linear expressions.
Objective 032
MF.EQ.5
Solve one-step equations and interpret the solution in context.
Objective 033
MF.EQ.6
Solve two-step equations and justify each inverse operation.
Objective 034
MF.EQ.7
Solve multi-step linear equations, including equations requiring simplification first.
Objective 035
MF.EQ.8
Solve linear equations with variables on both sides and interpret special cases.
Objective 036
MF.EQ.9
Write and solve a linear equation from a short verbal or contextual situation.
Objective 037
MF.EQ.10
Solve one-step inequalities and represent solutions on a number line.
Objective 038
MF.EQ.11
Solve multi-step inequalities, including reversing the inequality when appropriate.
Objective 039
MF.EQ.12
Interpret algebraic solutions and state them as meaningful contextual answers, including restrictions or whole-number constraints when needed.
Objective 040
MF.GR.1
Read values, trends, and meaning from tables and coordinate graphs.
Objective 041
MF.GR.2
Identify a numerical pattern and write a rule that matches it.
Objective 042
MF.GR.3
Generate and plot ordered pairs from rules, tables, and contexts.
Objective 043
MF.GR.4
Distinguish additive change from multiplicative change in tables, graphs, and contexts.
Objective 044
MF.GR.5
Interpret rate of change informally as how much one quantity changes for each change in another.
Objective 045
MF.GR.6
Interpret intercepts and starting values in contextual linear situations.
Objective 046
MF.GR.7
Match and compare words, tables, graphs, and simple equations that represent the same relationship.
Objective 047
MF.GR.8
Distinguish proportional relationships from linear but non-proportional relationships.
Objective 048
MF.GM.1
Convert measurements within a system and use unit reasoning to choose the correct scale.
Objective 049
MF.GM.2
Find and interpret perimeter and circumference in numeric and contextual problems.
Objective 050
MF.GM.3
Use area formulas for rectangles, triangles, parallelograms, trapezoids, and composite figures.
Objective 051
MF.GM.4
Use angle facts and diagram structure to find unknown angle measures.
Objective 052
MF.GM.5
Find and interpret surface area of prisms and cylinders.
Objective 053
MF.GM.6
Find and interpret volume of prisms and cylinders using correct units.
Objective 054
MF.GM.7
Set up and solve contextual measurement problems that require choosing the correct geometric formula and units.
Objective 055
MF.DP.1
Compute and interpret mean, median, range, and interquartile range in context.
Objective 056
MF.DP.2
Read and compare dot plots, histograms, and box plots to describe center, spread, and shape.
Objective 057
MF.DP.3
Compute and compare theoretical and experimental probability in simple settings.
Objective 058
MF.DP.4
Solve simple compound probability and counting problems using organized reasoning.
Objective 059
MF.QR.1
Identify relevant information, ignore distractors, and choose an appropriate operation or representation for a contextual problem.
Objective 060
MF.QR.2