5th Grade Math

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5th Grade Math

Course Description

This math course follows the Minnesota State Standards for 5th grade. Topics include; Review of long division, factors and multiples, understanding fractions, decimals and percents, fraction and decimal addition and subtraction, two dimensional measurement, introduction to statistics, three dimensional measurement and patterns, functions, and change.

Course Objectives

By the end of this course students will be able to:

Numbers & Operations

  • Divide multi-digit numbers; solve real-world and mathematical problems using arithmetic. (5.1.1)
  • Read, write, represent and compare fractions and decimals; recognize and write equivalent fractions; convert between fractions and decimals; use fractions and decimals in real-world and mathematical situations. (5.1.2)
  • Add and subtract fractions, mixed numbers and decimals to solve real-world and mathematical problems. (5.1.3)

Algebra

  • Recognize and represent patterns of change; use patterns, tables, graphs and rules to solve real-world and mathematical problems. (5.2.1)
  • Use properties of arithmetic to generate equivalent numerical expressions and evaluate expressions involving whole numbers. (5.2.2)
  • Understand and interpret equations and inequalities involving variables and whole numbers, and use them to represent and solve real-world and mathematical problems. (5.2.3)

Geometry & Measurement

  • Describe, classify, and draw representations of three-dimensional figures. (5.3.1)
  • Determine the area of triangles and quadrilaterals; determine the surface area and volume of rectangular prisms in various contexts. (5.3.2)

Data Analysis

  • Display and interpret data; determine mean, median and range. (5.4.1)

For a more detailed list of benchmarks within these objectives click here.

Gradebook

Homework: Math homework comes in 3 categories; correcting Math Reflections (quizzes), finishing classwork, and homework assignments. Read more about Math Reflections below. Classwork that is unfinished is given if students were not able to complete the work in class. Homework assignments will be given out at the beginning of each unit. Students will have a choice in the assignments they choose to complete. Options will include: Mangahigh (online platform), worksheets, bookwork, special projects, playing games. Parent signatures will be required certain assignments. Students will hand in the final homework record at the end of the unit.


Abzeichen: Abzeichen (or Badge) is TCGIS’s way of honoring middle school students making notable achievement in academic subjects. This program is very new still, and ways to earn the Academic Math Badge will be discussed in class. Completing all homework assignment options will be a component of earning Abzeichen for Math.

Mathematical Reflections: Math Reflections (MRs) are given every 3-5 class work days. These are usually completed in class independently, but with open notes. At times they may be given as group math reflections, or, rarely, as homework. Math Reflections are the best way for me to know what you know. All MRs are expected to be corrected in a different color. Fixing mistakes is one of the best ways to learn. Students are allowed to correct MRs multiple times until the Unit Test.

Check-Up: Check-Ups are sets of problems for you to complete individually. They are a way for me to know what you know. These are also revisable and should be corrected in a differrent color.

Unit Tests: Unit Tests are the final assessments in a unit. They cover all of the material from the unit. Unit Tests are meant to be familiar problems that you can show you have mastered the material. If this is not the case, and you receive a grade lower than 80% on the test there is additional work you must do. For more information see the policies section below.

Unit Projects: Some units of study end with a culminating project. It requires the application of many of the skills you learned throughout the unit. The project is an alternative way to showcase your newly acquired math skills. Sometimes units will have a unit project instead of a test, and sometimes in addition to the test.

Materials

This course uses small textbooks. Each book is a new unit of study. This book is three-hole punched and to be kept in your binder. Some homework assignment options are problems from the book. Each book has 3-5 Investigations, and each Investigation takes 3-5 days of study.

Your graph notebook is a key part of math class. Each graph notebook should be kept in your binder. Your notebook is divided into 3 sections; classwork, vocabulary, and warm-ups. This is to serve as your own reference book and can be used on math reflections. Keep track of it and keep it organized!

Course Outline

Unit 1: Prime Time: Factors, Prime Factorization and Division

Homework

Math Reflections

Unit Test

Unit 2: Bits and Pieces I: Understanding Fractions, Decimals, and Percents

Homework

Math Reflections

Unit Test

Unit 3: Fraction and Decimal Addition and Subtraction

Homework

Math Reflections

Unit Test

Unit 4: Two Dimensional Measurement

Homework

Math Reflections

Unit Test

Unit 5: Data About Us: Statistics

Homework

Math Reflections

Unit Test

Unit 6: Three Dimensional Figures and Measurement

Homework

Math Reflections

Unit Test

Unit 7: Patterns, Functions, and Change

Homework

Math Reflections

Unit Test


Math Policies

Red Flag System: This system is to ensure your success in math and help you get help when you need it.

Red Flag

Action

2 or lower on MR

Correct mistakes

2 or lower on 2nd attempt MR

Work with a peer on corrections

2 or lower on 3rd attempt MR

Study Hall time with Ms Morrissey

Grade in gradebook Falls below 59%

Meet with teacher to develop a plan to get back on track

Below 69% on unit test

online tutorial

retake test on the concepts not mastered

Math Reflection Grading Rubric

Grade

Description

4

Demonstrating mastery of the concept

3.5

Approaching mastery of the concept, but a small error was made

3

Proficient in conceptual understanding, but a significant error was made (no work was shown, improper notation, etc)

2

Approaching proficiency. Corrections are necessary to fully understand the concept

1

Understanding is not demonstrated. Corrections are necessary. Help from Ms Morrissey is available during study hall.

0

No attempt at the concept

Prime Time

The purpose of the Prime Time Unit is to understand relationships among factors, multiples, divisors, and products. Students will develop strategies for finding the factors, multiples, and prime factorizations. We will be discovering the Fundamental Theorem of Arithmetic and using it to further understand numbers and their relationships. We will use multiple methods for multiplying and dividing larger numbers. Students will be able to demonstrate what they have learned through mathematical reflections and the unit test.

Bits and Pieces I

Bits & Pieces I is the first of 3 books that focus on building an understanding of fractions, decimals, and percents. In Bits & Pieces I we will develop ways to model situations with fractions, decimals, and percents. We will compare and order fractions and begin to move flexibly between fractions, decimals and percentage representations. This unit is important in laying the ground work for future computation with fractions, decimals, and percents.

Adding/Subtracting Fractions and Decimals

This unit we will be covering a variety of ways to understand fraction

addition and subtraction. We will be using fraction circles, bars/strips, and

number lines. We will develop an algorithm that depends on prior knowledge,

including; greatest common factors, common multiples, and changing mixed

numbers into improper fractions. We will then move into decimals and compare

our understanding of fraction addition and subtraction with decimal addition

and subtraction. We will create an algorithm for adding and subtracting decimals

that will rely on our understanding of place value. We will also use number lines,

100 grids, and fractions to help us model our thinking.

Covering and Surrounding

This unit will cover many concepts in geometry. Students will be using

linear, square and cubic units to understand the concepts of perimeter, area,

surface area and volume. We will be applying these concepts in various figures

including; rectangles, triangles, parallelograms, and rectangular prisms.

Data About Us:Statistics

We are moving into a unit on statistics. We will be learning about data distributions, and various methods of calculating

and analyzing data. You can expect your student to:

  • Conduct data investigations to answer questions
  • Represent distributions of data using line plots, bar graphs, stem plots, and coordinate graphs
  • Compute the mean, median, mode and range of the data
  • Distinguish between categorical data and numerical data and identify which graphs and statistics may be used to represent each kind of data
  • Choose the most appropriate statistical measures to describe a distribution of data
  • Develop strategies for comparing distributions of data