 ### Course Overview

The Acellus Grade 5 Math course is designed to give students additional experience with basic mathematical operations (addition, subtraction, multiplication, and division). Besides working with larger whole numbers, in this course students focus on performing these mathematical operations on fractions, mixed numbers, and decimals. Students are introduced to basic algebraic and geometric concepts and many other topics to provide them with a strong mathematical foundation.

### Course Objectives & Student Learning Outcomes

Upon completion of Acellus Grade 5 Math, students will be able to: add, subtract, multiply, and divide with tenths, hundredths, and thousandths place for billions and decimals; compare and order decimals; converting decimals to expanded form; use mental math using the commutative and associative properties; round whole numbers and decimals; estimate whole number and decimal sums and differences; and solve word problems.

Students will also be able to use multiplication properties and mental math to estimate product and multiply 1-digit and 2-digit numbers by greater numbers; divide tens and hundreds; estimate quotients; use reasonableness; divide by 1-digit numbers and quotients with zeroes; use division strategies, estimate quotients with 2-digit divisors; divide by tens, quotients with 1-digit and 2-digit numbers and decimals; estimate and divide greater numbers; solve word problems; use algebraic variables and expressions, operations order, brackets and numerical patterns to solve problems; multiply decimals by powers of ten, exponents on ten; and estimate products of decimals, whole numbers and decimals, and decimals by decimals.

Finally, students will be able to divide decimals by powers of ten and by power of ten using exponents; estimate quotients involving decimals, of decimals and whole numbers; with decimals; divide decimals by whole numbers, decimal divisors, and dividends; solve word problems; measure and classify angles of 2-dimensional shapes; convert fractions and decimals; add, subtract, multiply, and divide fractions and mixed numbers; measure and convert customary and metric units of measurement; and solve problems using line plots, ordered pairs, graphing, interpreting patterns, and comparing graphs.

### Scope and Sequence

Unit 1 – Positive Numbers This unit covers addition, subtraction, multiplication, and division, place value for billions and decimals, comparing and ordering whole numbers and decimals, and patterns and decimals. Unit 2 – Addition and Subtraction This unit discusses doing mental math using the commutative and associative properties, rounding whole numbers and decimals, estimating sums and differences, doing addition, subtraction, and multi-step story problems, and adding and subtracting whole numbers and decimals. Unit 3 – Multiplication This lesson explores properties of multiplication, doing mental multiplication, estimating products, multiplying by 1- and 2-digit numbers and by greater numbers, using exponents, and multiplication story problems. Unit 4 – Division Part 1 This unit covers dividing tens and hundreds, estimating quotients, using reasonableness, model and compute division problems, dividing by 1-digit numbers, quotients with zeros, factors, prime and composite numbers, and division story problems. Unit 5 – Division Part 2 This unit discusses mental division, estimating quotients with 2-digit divisors, dividing by tens, quotients with 1- and 2-digits and with decimals, estimating and dividing greater numbers, and multiple-step and missing- or extra-information story problems. Unit 6 – Algebraic Variables and Expressions This unit covers algebraic variables and expressions, patterns and expressions, the distributive property, order of operations, and solving problems by acting them out. Unit 7 – Multiplication and Division This unit discusses multiplying decimals by a power of ten, multiplying whole numbers by decimals, estimating products with whole numbers and decimals, multiplying decimals, dividing decimals by powers of ten and by whole numbers, estimating quotients for decimals and whole numbers, division with decimal divisors and dividends, and multiple step story problems. Unit 8 – Two-Dimensional Shapes This unit covers simple geometry concepts and measuring and classifying angles. It also explores polygons, triangles, quadrilaterals, translations, reflections, rotations, congruence, symmetry, pentomino puzzles, and correct or incorrect generalizations. Unit 9 – Fraction Introduction This unit offers a basic understanding of fractions, how they relate to division, fractions greater than one, writing equivalent fractions and fractions in simplest form, comparing and ordering fractions, greatest common factors, changing fractions to decimals, the number line connection between fractions and decimals, and using benchmark fractions to estimate amounts. Unit 10 – Add and Subtract Fractions and Mixed Numbers This unit covers adding and subtracting fractions with like denominators and with unlike denominators, and adding and subtracting mixed numbers, as well as least common multiples. Unit 11 – Multiply Fractions and Mixed Numbers This unit discusses multiplying a fraction by a whole number, multiplying fractions, multiplying mixed numbers, dividing a whole number by a fraction, and story problems with fractions. Unit 12 – Length, Perimeter, and Area This unit explores customary and metric units of length, perimeter, finding the area of squares, rectangles, parallelograms, and triangles, and the circumference of a circle, and story problems for perimeter and area. Unit 13 – Three-Dimensional Figures This unit discusses solids, nets, surface area and different views of solid figures, volume, area and volume of irregular shapes and solids, and solving problems using models and pictures. Unit 14 – Measurement, Time, and Temperature This unit covers capacity in customary and metric units, weight and mass, converting customary and metric units, elapsed time, temperature, and using a table to solve problems. Unit 15 – Equations and Inequalities This unit explains solving equations with addition, subtraction, multiplication, and division, graphing inequalities on the number line, equations and patterns in table,s and using equations to solve problems. Unit 16 – Percents and Ratios This unit covers ratios, as well as percents, how percents relate to fractions and decimals, percents of whole numbers, solving percent problems using tables and patterns, outcomes, probability fractions, making predictions, and solving difficult problems using simpler problems. Unit 17 – Graphs This unit covers positive and negative integers, ordered pairs, distances between points, graphs of equations, and solving story problems by working backwards. Unit 18 – Data and Graphics This unit discusses surveys and data collection, representing data with bar graphs and picture graphs, line graphs, stem-and-leaf plots, histograms, circle graphs, mean, median, mode, range, and using different types of graphs. This course was developed by the International Academy of Science. Learn More