Basic Math Concepts II for Middle School
Basic Math Concepts II for Middle School is recommended for middle school students with weak math skills. It presents the lesson material on a 5th grade level. This course covers basic math operations with whole numbers, fractions, and decimals, and introduces algebraic expressions.
Basic Math Concepts II for Middle School is taught by Acellus Instructor Trisha Madden.
This course was developed by the International Academy of Science. Learn More
Scope and SequenceUnit 1 In this unit students review place value and decimals. They discuss billions, tenths, hundredths, and thousandths, as well as comparing and ordering decimals, and expanded form of decimals. They also review addition, subtraction, multiplication, and division. Unit 2 In this unit students explore decimals and whole numbers, including rounding, estimation, and the commutative and associative properties. They also practice multi-step story problems and mental math. Unit 3 In this unit students apply their knowledge of mental math, rounding, and estimating to multiplication. They also practice multiplying one- and two-digit numbers, and larger numbers, and study the properties of multiplication. Unit 4 In this unit students again apply their knowledge of estimation, this time to division. They also discuss dividing tens and hundreds, quotients containing zeros, and reasonableness. Unit 5 In this unit students continue to work on estimation, focusing on quotients. They also work with quotients of different sizes, division strategies, and math in real-world applications. Unit 6 In this unit on pre-algebra concepts, students discuss expressions including expressions with brackets and variables. They also study numerical patterns and order of operations. Unit 7 In this unit students study decimals with a focus on multiplication. They explore multiplying decimals by other decimals, as well as by whole number and by powers of ten. They also explore estimation products of the same combinations, as well as exponents on ten.
Following this unit students are presented with the Mid-Term Review and Exam.Unit 8 In this unit students continue to study decimals, targeting division. They investigate decimal divisors and dividends, powers of ten, estimating quotients, exponents, and dividing decimals by whole numbers. They also work on real-world, multi-step problems. Unit 9 With a focus on geometry, in this unit students study angles. They explore triangles, rectangles, squares, and quadrilaterals. They investigate classifying and measuring. Unit 10 In this unit students focus on fractions. They study equivalent fractions, division with fractions, mixed numbers, simplest form, and changing fractions to decimals. Unit 11 Continuing their study of fractions, in this unit students explore addition and subtraction, like denominators, least common multiples, and least common denominators. They also discuss using benchmark fractions for estimation. Unit 12 In this unit students focus on mixed numbers. They study estimating, addition, and subtraction of mixed numbers. Unit 13 In this unit students investigate multiplication and division involving fractions. They explore multiplication and division with whole numbers, estimation, finding area of rectangles involving fractions, and multiplying mixed numbers. Unit 14 Expanding their knowledge of geometry, in this unit students explore solid figures and volume. They learn to model volume of regular and irregular objects. Unit 15 In this unit students focus on length, capacity, weight, and mass. They study customary and metric units, and practice converting each of these, both in simple and in multi-step problems. Unit 16 In this unit students explore statistics. They discuss surveys and data collection, line plots, solving problems, and ordered pairs. They learn about graphs, interpreting patterns, and comparing numerical patterns.
Following this unit students are presented with the Final Review and Exam.