2015­2016 NCPS Mathematics Unit Map – Grade 4 Parent Guide These ​
Standards for Mathematical Practices​
are developed in each unit throughout the year: ● Make sense of problems and persevere in solving them. ● Reason abstractly and quantitatively. ● Construct viable arguments and critique the reasoning of others. ● Model with mathematics. ● Use appropriate tools strategically. ● Attend to precision. ● Look for and make use of structure. ● Look for and express regularity in repeated reasoning. Fact Fluency­ ​
Throughout the year, teachers work on building fact fluency with students. The fourth grade expectation is to know facts fluently within 12x12 for multiplication and division In unit 1, students will apply their previous understandings of multiplication and division to solve Unit 1 Multiplication and Division 1: problems. Students will have the opportunity to interpret problems with multiplication that focuses on the multiplicative comparisons. For example, what does it mean to be three times larger than another object? Students will also explore factors, multiples, prime and composite numbers. They will investigate relationships of numbers and multiply multi digit numbers through strategies including place value, equations, arrays and other models. Students will: ❏ interpret multiplication equation as a comparison ❏ solve word problems with multiplicative comparisons ❏ solve multi step word problems, including interpretation of remainders; represent problems using equations with a letter for the unknown quantity ❏ find all factor pairs for a given number up to 100; relationship between multiples and factors; determine if a number is a multiple of a given factor; prime and composite numbers ❏ multiply two digit numbers using strategies based on place value; explain using equations, arrays, models Grade 4 Parent Guide 2015­2016 Unit 4 2­D Geometry and Measurement: Unit 3 Multiplication and Division 2: In unit 4, students will continue their work with the concepts of 2­D geometry and measurement. In this unit students will be given opportunities to understand how to classify shapes according to attributes such as; parallel lines, perpendicular lines, angles, etc…. Students will work with protractors to measure angles and draw conclusions about their measurements. Students will apply their computation skills to measure angles of figures. In addition to that, students will understand what symmetry in reference to 2­D figures. They will apply this learning to solve real world problems. Students will: ❏ know relative sizes of measurement units; measurement conversions; two column tables; ❏ use four operations to solve word problems involving measurement ❏ Classify 2D shapes based on parallel, perpendicular lines, angles; recognize and identify right triangles ❏ draw points, lines, line segments, rays, angles (right, obtuse, acute), perpendicular and parallel lines; identify in 2D figures ❏ understand angles and angle measurement ❏ measure angles using a protractor ❏ recognize angle measures as additive; addition/subtraction involving angles using symbols ❏ symmetry for 2­D figures ❏ apply area and perimeter formula for rectangles in real world problems In unit 3, students will extend their understanding of multiplication and division. They will work on multiplying two digit numbers by using placing value strategies, visual models and equations. Students will be able to extend their knowledge of finding factors, and multiples of numbers. They will be able to solve problems that are multi­step and use logic to determine is their answers are reasonable. Problem solving will be incorporated throughout the unit. ❏ division using strategies based on place value, relationship between multiplication and division; explain using equations, arrays, models ❏ Solve multi­step word problems using four operations; assess reasonableness ❏ find all factor pairs for a given number; multiples and factors; prime and composite ❏ multiply two digit numbers using strategies based on place value; explain using equations, arrays, models Grade 4 Parent Guide 2015­2016 Unit 6 Fractions and Decimals: Unit 5 Addition, Subtraction, and the Number System: In unit 6, students will work with fractions and decimals. They will compare fractions that contain unlike numerators and denominators. They will be able to reason about fractions in order to decompose (take apart) fractions into parts, compute with fractions and mixed numbers and solve multi­step word problems. Students will also understand what happens when you multiply a fraction by a whole number, and be able to show and explain using symbols, words and visual representations. Students will works with decimals, understand the value of decimals, show where they are located on a number line, and understand how to compare decimals. Real world problems will be incorporated throughout the unit. Students will: ❏ explain fraction equivalence ❏ compare fractions unlike numerators and denominators; using common denominators or comparing to landmark fractions; using comparison symbols >,<,= ­ ❏ add/subtract with fractions ❏ decompose fractions into parts and express as equation ❏ add and subtract mixed numbers ❏ solve word problems with like denominators ❏ multiplying a fraction by a whole number ❏ understand tenths and hundredths as equivalent fractions; using that to add tenths and hundredths ❏ decimal notation for fractions tenths and hundredths; locate tenths and hundredths on a number line ❏ compare decimals up to hundredths In unit 5, students will continue to expand on their knowledge of addition and subtraction to work with larger numbers. In this unit, students will make the connection between using the base ten systems and strategies to apply the the standard algorithm to addition and subtraction. Students will also round numbers to any place and and write numbers in expanded notation. Students will use what they know about place value to compare numbers and draw conclusions. Problem solving opportunities linked to real world scenarios will be incorporated throughout the unit. Students will: ❏ recognize that a digit in one place is ten times what it represents in the place to its right ❏ read and write numbers using base ten numerals, number names, and expanded notation; compare two numbers based on place value using symbols ❏ round to any place ❏ adding and subtracting using the standard algorithm Grade 4 Parent Guide 2015­2016 Unit 8 Multiplication and Division 3 Unit 9 Penny Jars and Plant Growth New Unit 10 Exploring Measurement with Multiplication In unit 8, students will continue their work with multiplication and division. Students will expand their understanding of interpreting remainders, use letters to stand for unknowns, divide using place value strategies and assess reasonableness of their answers. This unit is intended to use larger numbers when multiplying and dividing. Throughout the unit, teachers will provide students with multi­step word problems, and problem solving opportunities that are connected to real world problems. Students will: ❏ multiply a 1 digit by 4 digit number; multiply 2 by 2 digit numbers ❏ solve multi­step word problems, including remainders; represent problems using a letter for unknown quantity; assess reasonableness of an answer ❏ dividing with up to 4 digit by 1 digit numbers, using strategies based on place value In unit 9, students explore patterns that are numerical and pictorial. They will understand that patterns follow rules and analyze patterns to identify those rules. Students will also work with line plots in this using and solve real world problems. Students will: ❏ generating a number/shape pattern that follows a given rule (formula) ❏ make a line plot to display a data set of measurements in fractions of a unit; solve problems involving addition and subtraction of fractions using line plots In unit 10, students will work with the integration of measurements with multiplications. For example, 1 liter is equal to 1000 milliliters. Students will be able to convert units within a system, express these conversions in tables and understand the patterns of these conversions. They will use this content to solve real world math problems Students will: ❏ know relative sizes of units within one system; measurement conversions; express in two­column tables ❏ Use 4 operations to solve word problems involving measurement Grade 4 Parent Guide 2015­2016