Keller ISD Academic Year Subject/Grade Level: 6 th Grade Mathematics

Transcription

1 Keller ISD Academic Year Subject/Grade Level: 6 th Grade Mathematics Year at a Glance Introduction (1) Within a well-balanced mathematics curriculum, the primary focal points at Grade 6 are using ratios to describe direct proportional relationships involving number, geometry, measurement, probability, and adding and subtracting decimals and fractions. (2) Throughout mathematics in Grades 6-8, students build a foundation of basic understandings in number, operation, and quantitative reasoning; patterns, relationships, and algebraic thinking; geometry and spatial reasoning; measurement; and probability and statistics. Students use concepts, algorithms, and properties of rational numbers to explore mathematical relationships and to describe increasingly complex situations. Students use algebraic thinking to describe how a change in one quantity in a relationship results in a change in the other; and they connect verbal, numeric, graphic, and symbolic representations of relationships. Students use geometric properties and relationships, as well as spatial reasoning, to model and analyze situations and solve problems. Students communicate information about geometric figures or situations by quantifying attributes, generalize procedures from measurement experiences, and use the procedures to solve problems. Students use appropriate statistics, representations of data, reasoning, and concepts of probability to draw conclusions, evaluate arguments, and make recommendations. (3) Problem solving in meaningful contexts, language and communication, connections within and outside mathematics, and formal and informal reasoning underlie all content areas in mathematics. Throughout mathematics in Grades 6-8, students use these processes together with graphing technology and other mathematical tools such as manipulative materials to develop conceptual understanding and solve problems as they do mathematics. 1

2 Unit/Time Summary/Big Ideas Assurance Words Unit 1 Problem Solving Problem solving board Different strategies Estimating answers before solving Days Unit 2 Equations and Expressions 5-7 days Unit 3 Integers 5 days Write expressions and equations from tables and problem solving situations Evaluate expressions using order of operations (PEMDAS) Relate integers to a number line Identify and name integers in problem situations Write expressions from tables and problem situations Variable Evaluate Expression Exponents Integers Unit 4 Factors and Multiples days Prime factorization using exponents Identify common factors and GCF Identify common multiples and LCM Solve application problems involving GCF and LCM End of 1 st 6 Weeks GCF LCM Prime Factorization Tree Diagram Exponents 2

3 Unit 4, continued Factors and Multiples days Prime factorization using exponents Identify common factors and GCF Identify common multiples and LCM Solve application problems involving GCF and LCM GCF LCM Prime Factorization Tree Diagram Exponents 3

4 Unit 5 Fractions/ Decimals/ Percents days (Approx 21 days 2 nd 6 weeks) Convert between decimals, fractions and percents Compare and order decimals, fractions and percents and any combination Identify and generate equivalent fractions including simplest form Use addition and subtraction of decimals to solve real life problems Use addition and subtraction of fractions and mixed numbers with unlike denominators to solve real life problems Estimate decimals and fractions Rational Numbers Continue Unit 5 Fractions/ Decimals/ Percents (for Approx. 9 days) End of 2 nd 6 Weeks Continue with Unit 5 for Approximately 9 days 4

5 Unit 6 Ratios, Rates and Proportions days Name and identify ratios from problem situations including simplest form Generate ratios in all 3 forms: fractions, decimals and percents Use ratios to solve problems involving predictions Identify ratios and proportional relationships from data in tables and problem situation Ratio Rate of Change Proportional Unit 7 Probability days Identify and construct sample spaces Understand the difference between theoretical and experimental probability Describe the relationship between the probability of a simple event and its complement Use probability to make predictions Tree Diagram Complementa ry Event Experimental Probability Theoretical Probability Sample Space Simple Event End of 3 rd 6 Weeks 5

6 Unit 8 Coordinate Graphing and Statistics days Identify and graph non-negative coordinates including decimals, fractions and mixed numbers (ordered pairs) Introduce all 4 quadrants Graphical representations of data must include bar graphs, line graphs, line plots, stem-and-leaf plots and circle graphs Use different increments as determined by the data Match given data to its best graphical representation Analyze graphs to identify information represented Identify and compute mean, mode, median, and range for any given set of data from tables or graphical representations Coordinate Plane Bar Graph Circle Graph Line Graph Stem-and- Leaf Plot Line Plot Mean Median Mode Range 6

7 Unit 9 Measurement and Geometry days Convert between units in both the customary and metric systems Solve problems using time and temperature Estimate measurements (including circumference) Measure angles and use angle measurement to classify angles Classify triangles and quadrilaterals based on their angles and side lengths Use relationships between angles in triangles and quadrilaterals to find missing angle measures Know and use formulas for perimeter, area, volume and circumference per formula chart Know and use relationship between circumference, diameter, and radius to solve problems End of 4 th 6 Weeks Acute Angle Circumference Diameter Dimensions Prism Quadrilateral Radius 7

8 Unit 9, continued Measurement and Geometry days Convert between units in both the customary and metric systems Solve problems using time and temperature Estimate measurements (including circumference) Measure angles and use angle measurement to classify angles Classify triangles and quadrilaterals based on their angles and side lengths Use relationships between angles in triangles and quadrilaterals to find missing angle measures Know and use formulas for perimeter, area, volume and circumference per formula chart Know and use relationship between circumference, diameter, and radius to solve problems Acute Angle Circumference Diameter Dimensions Prism Quadrilateral Radius Unit 10 Generating Formulas From Tables 3 days Unit 11 STAAR Review Days Generate formulas for perimeter, area and volume from data given in tables Review low-performing SE s based on individual student needs End of 5 th 6 Weeks 8

9 Unit 12 Multiplying and Dividing Decimals 6 days Use rounding and compatible numbers to estimate solutions to multiplication and division problems involving decimals Solve real-world problems involving all operations with decimals numbers Unit 13 Multiplying and Dividing Fractions 6 days Model multiplication and division of fractions Solve real-world problems involving all operations with fractions and mixed numbers Reciprocal (Multiplicative Inverse) Unit 14 Adding and Subtracting Integers 7 days Model addition and subtraction of integers Evaluate expressions involving addition and subtraction of integers End of 6 th 6 Weeks 9