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Middle School 5-8
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Mathematics Resource - enVision Math

TOPIC 1 NUMERATION:  place value, comparing & ordering whole numbers, decimal place value, comparing & ordering decimals, and problem solving throughout topic

TOPIC 2 ADDING AND SUBTRACTING WHOLE NUMBERS AND DECIMALS: mental math, rounding whole numbers & decimals, estimating sums & differences, adding & subtracting whole numbers & decimals, and problem solving throughout topic

TOPIC 3 MULTIPLYING WHOLE NUMBERS:  multiplication properties, mental math, estimating products, multiplying by 1-digit numbers, multiplying 2-digit numbers by 2-digit numbers, multiplying 3-digit numbers by 2-digit numbers, and problem solving throughout topic

TOPIC 4 DIVIDING BY 1-DIGIT DIVISORS:  dividing multiples of 10 & 100, estimating quotients, dividing by 1-digit divisors, zeros in the quotient, understanding factors, algebra-finding relationships between pairs of numbers in a table, prime & composite numbers, problem solving throughout topic, and interpreting remainders in word problems

TOPIC 5 DIVIDING 2-DIGIT DIVISORS:  using patterns to divide, estimating quotients with 2-digit divisors, dividing by multiples of 10, 1-digit & 2-digit quotients, and problem solving throughout topic

TOPIC 6 VARIABLES AND EXPRESSIONS translating words in algebraic expressions, evaluating algebraic expressions involving multiplication, addition, subtraction, & division, evaluating numerical & algebraic expressions with 3 or more numbers & operations, and problem solving throughout topic

TOPIC 7 MULTIPLYING AND DIVIDING DECIMALS:  multiplying and dividing decimals by 10, 100, 1000; multiplying and dividing a decimal by a whole number; multiplying and dividing decimals by decimals,  and problem solving throughout topic

TOPIC 8 SHAPES:  measuring and classifying angles, triangles, quadrilaterals, and classifying quadrilaterals

TOPIC 9 FRACTIONS & DECIMALS:  mixed numbers and improper fractions, equivalent fractions, comparing and ordering fractions and mixed numbers, represent decimals as fractions with denominators of: 10/100/1000, label a point on a number line using both a fraction and a number, and problem solving throughout topic

TOPIC 10 ADDING & SUBTRACTING FRACTIONS AND MIXED NUMBERS:  adding and subtracting fractions with like denominators, common multiples and least common multiple, adding and subtracting fractions with unlike denominators, adding and subtracting mixed numbers, and problem solving throughout topic

TOPIC 11 MULTIPLYING FRACTIONS & MIXED NUMBERS:  multiplying fractions and whole numbers, multiplying two fractions, multiplying mixed numbers, relating division to multiplication of fractions, and problem solving focus on drawing a picture/writing equations

TOPIC 12 PERIMETER & AREA:  (4th grade standard), review area and perimeter formulas for rectangles in real world and mathematical problems

TOPIC 13 SOLIDS 7 VOLUME:  using formulas to find volume of rectangular prisms, determine the volume of regular and irregular solids, and problem solving focus on using objects and solving a simpler problem

TOPIC 14 MEASUREMENT UNITS:  converting customary units of measurement using multiplication and division; note - taught as a science unit


TOPIC 17 EQUATIONS & GRAPHS:  identify and graph points on a coordinate plane, use number lines and the coordinate plane to find distances involving positive and negative numbers, find distances between two point by using ordered pairs, create & interpret coordinate graphs, and use coordinates graphs to explore the relationship between two rules

TOPIC 18 GRAPHS & DATA:  collecting data, recording that data in frequency tables and line plots, interpreting that data, making and interpreting various types of graphs:  bar graphs, double-bar graphs, and picture graphs; note - taught as a science unit



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