# Basic Math Concepts for High School ### Course Overview

Basic Math Concepts for High School is recommended for high school students with very weak math skills.  It presents the lesson material on a 3rd grade level.  This course covers math fact memorization and basic concepts. Basic Math Concepts for High School is taught by Acellus Instructors including LaTricia Harper. This course was developed by the International Academy of Science. Learn More

### Scope and Sequence

Unit 1 In this unit students focus on addition and subtraction. They study fact families, the relationship between sums and differences, working with addends, and story problems. Unit 2 In this unit students study three-digit numbers, including place value, expanded form, and word form. They learn about number lines, counting order, and comparing numbers that are less than or greater than, or that are odd or even. They practice counting by tens, fives, and twos. Unit 3 In this unit students focus on four-digit numbers and the thousands period, including place value, expanded form, and word form. They learn about comparing and ordering numbers, including using less than, greater than, and equal to, and doing story problems. Unit 4 In this unit student explore rounding. They learn to round to the nearest ten, to the nearest hundred, and to the nearest given place value, practicing with three- and four-digit numbers. They practice counting by twenty-fives, fifty's, hundreds, and thousands, using benchmarks, and doing rounding story problems. Unit 5 In this unit students take an in-depth look at addition. They learn the properties of addition, as well as using parentheses with addition. They study mental sums and estimating with different place values, and estimation story problems. They also explore doing both adding and estimation with compatible numbers. Unit 6 In this unit students have an extensive review of addition. They practice two-digit addition without regrouping, as well as two-, three- and four-digit addition with regrouping. They investigate coin collecting, choosing an addition method, and addition story problems. Unit 7 In this unit students focus on estimating differences, including tens, hundreds, thousands, and story problems. They also study over-and under-estimating, as well as subtracting and estimating differences with compatible numbers, and choosing whether to calculate an exact difference or to estimate. Unit 8 In this unit students continue their review of subtraction, studying two-digit subtraction without regrouping, and two-, three-, and four-digit subtraction with regrouping. They learn to use addition to check subtraction, to find differences across zeros, and to subtract with different place values. They also practice addition and subtraction story problems. Unit 9 In this unit students focus on handling money. They learn to count coins and bills, to compare amounts of money, and to add and subtract amounts of money. They practice adding and subtracting money in story problems, and calculating and counting change, and they celebrate the number 100. Unit 10 In this unit students study graphing. They explore tally and frequency tables, venn diagrams, pictographs, bar and double-bar graphs, line plots, line and circle graphs, and using a coordinate grid. Unit 11 In this unit students focus on multiplication. They learn to multiply by the numbers zero through 11. They discuss problem solving with tables, multiplication properties, single- and multiple-step story problems, finding missing factors, and using a calculator for multiplication. Unit 12 In this unit students explore division. They discuss multiplication and division fact families, and dividing by the numbers zero through 12. They study multiples of two, three, and four, division story problems, order of operations, choosing the right operation, calculator division, equations, and expressions. Unit 13 In this unit students learn about geometry. They study lines and angles, polygons, triangles, quadrilaterals, circles, and congruent figures. They explore symmetry, solid figures, and relating objects to solid figures. Unit 14 In this unit students study measuring. They focus on length, capacity, and weight in both customary and metric units. They also explore mass. Following this unit students are presented with the Mid-term Review and Exam. Unit 15 In this unit students focus on fractions. They learn about number lines, whole numbers as fractions, equivalent fractions, and simplest form. They learn about comparing fractions with like denominators and with like numerators, and comparing unlike fractions. Unit 16 In this unit students explore mixed numbers. They learn to covert mixed numbers to improper fractions and vice versa, to compare mixed numbers, and to use mixed numbers on a number line. They practice adding, subtracting, and multiplying fractions and mixed numbers, as well as doing story problems. Unit 17 In this unit students study decimals. They explore decimals with a number line, as well as how decimals relate to fractions and mixed numbers. They learn about thousandths, adding and subtracting decimals, and story problems. Unit 18 In this unit students explore mental products and estimating products. They learn about regrouping and story problems with two- and three-digit numbers, and about choosing a method of mutiplication. Unit 19 In this unit students investigate multiplying two-, three-, and four-digit numbers by one- and two-digit numbers. They explore multiplying with zeros and by tens, as well as multiples of eight. They practice story problems. Unit 20 In this unit students focus on mental quotients and estimating quotients. They explore dividing two digits with regrouping, using models, sharing evenly, using multiplication to check division, and story problems. Unit 21 In this unit students continue their study of division. They discuss dividing two and three digits by one digit, placing the first digit, division trouble spots, and understanding remainders. They explore dividing with zeros. Unit 22 In this unit students complete their exploration of division by focusing on dividing two-, three, and four-digit numbers with two-digit numbers, adjusting quotients, and doing division story problems with a map. They also review checking division with multiplication and choosing a division method. Unit 23 In this unit students return to their study of geometry. They explore perimeter and area, volume models and measurements, and metric capacity units. Unit 24 In this unit students review divisibility rules, factors, multiples, and prime and composite numbers. They explore number patterns and negative numbers, as well as comparing with negative numbers. Following this unit students are presented with the Final Review and Exam.