At the 3rd accelerated math level, the students will learn a combination of the 3rd and 4th grade common core math standards.
Here is the order in which the math concepts are taught.
Unit 1: Introduction to Multiplication and Division
Unit 2: Area and Perimeter
Unit 3: Place Value, Multi-digit addition and subtraction and data
Unit 4: Time, Mass, Volume and Conversions
Unit 5: Fractions
Unit 6: Decimals
Unit 7: Multi-digit Multiplication and Division
Unit 8: Geometry
This unit's main focus is multiplication and division within 100 and solving problems with these related facts. They will also be able to find all factor pairs up to one hundred. Knowing these facts fluently is an ongoing skill. The students will know the relationship between multiplication and division. They will be able to use manipulative and pictures to solve a variety of problems. The students will multiply and divide single digit numbers using strategies based on place value and the properties of operations.Students will be able to solve multi-step word problems using the four operations and interpret remainders They will also Illustrate and explain the calculation by using pictures, equations, and/or rectangular arrays.
In this unit students explore area and perimeter as an attribute of two-dimensional figures. Students will also relate area to their prior understandings of multiplication. Students will be able to apply area and perimeter formulas for rectangles in real world and mathematical problems. They will be able to use manipulative and pictures to solve a variety of problems. Students will also illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Students will be able to read, write, round, and compare large numbers to millions based on their understanding of place value. Using the standard algorithm, students will be fluent in addition and subtraction of multi-digit numbers. Furthermore, they will solve multi-step word problems using variables to represent unknown quantities. Students will also analyze data and use it to create graphs and line plots.
Students will tell time to the nearest minute and solve problems including elapsed time. They will estimate and measure liquid volumes and masses of objects using metric units.Students will be able to convert metric units of length, mass, and capacity from larger units to smaller units.
Throughout the unit students will have multiple experiences working with the fractional units of halves, thirds, fourths,fifths, sixths, eighths, ninths, and tenths. Students will also be able to find equivalent fractions, add and subtract fractions and mixed numbers, compare fractions, and multiply a fraction by a whole number. During this unit students will look for and generate patterns.
Students will be able to represent fractions with denominators of 10 or 100 and covert to a decimal form. They will be able to compare two decimals to the hundredths.
This unit's main focus is multiplication and division of multi-digit numbers and solving problems with these related facts. They will also be able to find all factor pairs up to one hundred. Knowing these facts fluently is an ongoing skill. The students will know the relationship between multiplication and division. The students will multiply and divide multi-digit numbers using strategies based on place value and the properties of operations.Students will be able to solve multi-step word problems using the four operations and interpret remainders They will also Illustrate and explain the calculation by using equations, and area models. In this unit students will explore and apply the area and perimeter formulas for rectangles in real world and mathematical problems.
Students will be able to draw and identify points, lines, line segments, rays, angles, perpendicular and parallel lines. Using their knowledge of types of lines and types of angles be able to classify two-dimensional figures. In addition to learning how to measure angles students will solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.