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36 Weeks

### Overview

The Elementary math courses inspire students to become critical thinkers and problem solvers. The learners use math as a tool to make sense of and understand the world around them. The courses include media that uses sight and sound to engage students. For example, rhymes, chants, songs, and videos help teach and practice foundational math skills. The focuses of the 4-5 math courses are multiplication and division within 100, fractions, decimals, shapes, area, and volume. Students explore content prior to being explicitly taught and hands-on activities help strengthen the learners’ algebraic and critical thinking skills. Digital and concrete manipulatives help support mathematical proficiency in all grades. The learners are provided with many practice opportunities that involve both on-screen and off-screen activities.

Please view the Elementary Parents’ Survival Guide: The First Four Weeks of Online Learning for guidance on helping your student in the transition to online learning.

### Course Requirements

To achieve success, students are expected to submit work in each course weekly. Students can learn at their own pace; however, “any pace” still means that students must make progress in the course every week. To measure learning, students complete self-checks, practice lessons, multiple choice questions, projects, discussion-based assessments, and discussions. Students and families are expected to maintain regular contact with teachers because, when teachers, students, and parents work together, students are successful.

Required Materials – Please view the list of materials before registering.

### Major Topics and Concepts

In Math Grade 4, students will add, subtract, multiply, and divide multi-digit whole numbers. The course provides the opportunity for students to develop an understanding of adding, subtracting, and multiplying fractions by whole numbers. Analyzing and classifying shapes is another focus of the course. Other engaging activities include learning about data/line plots, decimals, and measurement.

Segment One

• Place value
• Rounding numbers
• Representing and interpreting data
• Line plots
• Subtracting multi-digit whole numbers
• Multiplying and dividing to solve word problems
• Solving multistep word problems
• Multiplying by one-digit numbers
• Multiplying by two-digit numbers
• Dividing by one-digit numbers
• Factors and multiples
• Prime and composite numbers

Segment Two

• Equivalent fractions
• Subtracting fractions
• Subtracting mixed numbers
• Multiplying a fraction by a whole number
• Multiplying a whole number by a mixed number
• Decimals
• Measurement
• Angles
• Patterns

Module One: Generalize Place Value Understanding
Module Two: Represent and Interpret Data on Line Plots
Module Three: Fluently Add and Subtract Multi-Digit Whole Numbers
Module Four: Use Strategies and Properties to Multiply by One-Digit Numbers
Module Five: Use Strategies and Properties to Multiply by Two-Digit Numbers
Module Six: Use strategies and Properties to Divide by One-Digit Numbers
Module Seven: Use Operation with Whole Numbers to Solve Problems
Module Eight: Factors and Multiples
Module Nine: Fraction Equivalents and Comparing
Module Ten: Understanding Addition and Stubtraction of Fractions
Module Eleven: Extend Multiplication Concepts to Fractions
Module Twelve: Understand and Compare Decimals
Module Thirteen: Measurement: Find Equivalence in Units of Measure
Module Fourteen: Algebra: Generate and Analyze Patterns
Module Fifteen: Geometric Measurement: Angles and Angle Measurement
Module Sixteen: Lines, Angles, and Shapes

### Competencies

• 2-Digit Multiplication
I can solve multiplication equations with a 2-digit number by a 2-digit multiple of 10. I can solve multiplication equations with a 1-digit whole number by a whole number of up to four digits. I can solve multiplication equations with two 2-digit numbers. I can use partial products to solve multiplication word problems. I can solve for an unknown number in a multiplication equation.
• Addition and Subtraction of Multi-Digit Numbers
I can solve addition problems with 6-digit numbers. I can solve subtraction problems with 6-digit numbers. I can solve addition equations with unknown numbers. I can solve subtraction equations with unknown numbers. I can estimate the sum of an equation by rounding. I can estimate the difference of an equation by rounding.
• Division
I can calculate the quotient of a 4-digit number divided by a 1-digit number using long division. I can calculate the quotient of a whole number divided by a 1-digit number using equal groups. I can calculate the quotient of a 4-digit number divided by a 1-digit number using partial quotients.
• Factors and Multiples
I can identify all factor pairs for whole numbers within 100. I can identify all common factors of 2 numbers. I can compare prime and composite numbers. I can identify multiples of 1-digit numbers.
• Line Plots
I can create a line plot using data. I can analyze a line plot.
• Multiplication
I can solve multiplication problems using the distributive property. I can solve multiplication problems using arrays and area models. I can solve multiplication problems using the vertical method. I can estimate the product of an equation by rounding the factors. I can mentally estimate the product of an equation using the associative property of multiplication.
• Number Place Value
I can read and write whole numbers up to 1,000,000 using number names. I can read and write whole numbers up to 1,000,000 using forms. I can estimate numbers by rounding. I can compare two numbers using <, >, =. I can explain the changing value of digits according to their place in a number.
• Solving Word Problems
I can solve multiplication word problems using an equation. I can solve multiplication word problems using models. I can solve division word problems using models.
• Addition and Subtraction of Fractions
I can model addition and subtraction of fractions. I can model addition and subtraction of mixed numbers. I can solve addition and subtraction problems of fractions with like denominators. I can solve addition and subtraction word problems of mixed numbers with like denominators. I can compare improper fractions and mixed numbers. I can model fractions as a sum of smaller fractions.
• Attributes and Symmetry
I can categorize triangles based on the length of the sides. I can model lines of symmetry. I can categorize quadrilaterals based on the attributes.
• Decimals
I can model decimals through hundredths. I can compare decimals to hundredths using the symbols <, >, =. I can compare two decimals using a visual model. I can solve addition of fractions’ word problems with denominators of 10 and 100. I can solve word problems involving money.
• Fractions
I can model equivalent fractions with fraction models, fraction strips, and number lines. I can model equivalent fractions using multiplication. I can model equivalent fractions using division. I can compare two fractions with different numerators and denominators by creating common denominators. I can compare two fractions with different numerators and denominators using a benchmark fraction. I can compare fractions using the symbols <, >, or =.
• Lines and Angles
I can model points, lines, line segments, and rays. I can model parallel and perpendicular lines. I can compare acute, obtuse, and right angles. I can model angles using a protractor. I can add angle measures to calculate the size of an unknown angle. I can subtract angle measures to calculate the size of an unknown angle.
• Multiplication of Fractions
I can model fraction multiplication as repeated addition. I can model multiplication problems with a fraction and a whole number. I can solve multiplication problems with a fraction and a whole number using symbols. I can solve multiplication word problems with fractions and whole numbers.
• Patterns
I can describe a number or symbol pattern given a rule. I can model additional numbers or symbols in a pattern given a rule. I can explain pattern traits.
• Units of Measurement
I can compare units of length, capacity, and weight in metric systems. I can compare units of length, capacity, and weight in non-metric systems. I can solve area and perimeter problems with an unknown measurement. I can model fractional intervals of time. I can model fractional intervals of distance. I can solve word problems involving intervals of time.

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## Attend a virtual open house

We offer regular online open house webinars where VLACS staff members provide parents and students with an overview of our programs and answer questions about online learning.