Resources 6Th Grade Math Quarter 1 Check-Ins (2017-18)

Resources 6th Grade Math Quarter 1 Check-Ins (2017-18)

The following resources provide an opportunity to address the standards assessed on this quarter’s check-in. Ratios & Proportional Relationships 6.RP Understand ratio concepts and use ratio reasoning to solve problems. 6.RP.3 Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. a. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. b. Solve unit rate problems including those involving unit pricing and constant speed.

Tasks from Illustrative Ticket Booth Mathematics Hunger Games versus Divergent Running at a Constant Speed Which detergent is a better buy? Lesson from Mathematics Using Proportional Reasoning Assessment Project This lesson unit is intended to help you assess how well students are able to reason proportionally when comparing the relationship between two quantities expressed as unit rates and/or part-to-part ratios. In particular, it will help you assess how well students are able to:  Describe a ratio relationship between two quantities.  Compare ratios expressed in different ways.  Use proportional reasoning to solve a real-world problem.

The Number System 6.NS Apply and extend previous understandings of multiplication and division to divide fractions by fractions. 6.NS.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.

Tasks from Illustrative Traffic Jam Mathematics Dan’s Division Strategy Reciprocity Lesson from Mathematics Interpreting Multiplication and Division Assessment Project This lesson unit is designed to help students to interpret the meaning of multiplication and division. Many students have a very limited understanding of these operations and only recognize them in terms of ‘times’ and ‘share’. They find it hard to give any meaning to calculations that involve non-integers. This is one reason why they have difficulty when choosing the correct operation to perform when solving word problems.

Compute fluently with multi-digit numbers and find common factors and multiples. 6.NS.3 Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

Tasks from Illustrative Reasoning about Multiplication and Division and Place Value, Part 1 Mathematics Reasoning about Multiplication and Division and Place Value, Part 2 Jayden’s Snacks Adding Base Ten Numbers, Part 1 Adding Base Ten Numbers, Part 2 Adding Base Ten Numbers, Part 3 Lesson from Mathematics Using Standard Algorithms for Number Operations Assessment Project This lesson unit is intended to help students to make sense of standard algorithms for addition, subtraction, multiplication, and division of positive integers. In particular it should assist them in the following areas:  Improving conceptual understanding of why and how the NC DEPARTMENT OF PUBLIC INSTRUCTION 1 2015- 16 School Year Proof of Concept Study Interim Assessments Grade 5 Mathematics algorithms work.  Developing procedural fluency in carrying out the algorithms.  Becoming more able to spot unreasonably sized answers and to debug errors in procedures.

Expressions & Equations 6.EE Apply and extend previous understandings of arithmetic to algebraic expressions. 6.EE.1 Write and evaluate numerical expressions involving whole-number exponents.

Tasks from Illustrative The Djinni’s Offer Mathematics Exponent Experimentation 1 Exponent Experimentation 2 Lesson from Mathematics Representing the Laws of Arithmetic Assessment Project This lesson unit is intended to help you assess how well students are able to:  Perform arithmetic operations, including those involving whole- number exponents, recognizing and applying the conventional order of operations.  Write and evaluate numerical expressions from diagrammatic representations and identify equivalent expressions.  Apply the distributive and commutative properties appropriately.  Use the method for finding areas of compound rectangles.

Geometry 6.G Solve real-world and mathematical problems involving area, surface area, and volume. 6.G.1 Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

Tasks from Illustrative Painting a Barn Mathematics Finding Areas of Polygons Areas of Special Quadrilaterals Lessons from Utah Middle Section 5.1: Area of Polygons School Math Project This section revolves around finding the area of right triangles, other triangles, special quadrilateral, and polygons. Students begin their work with area by finding area of figures on a graph and counting out unit squares. They learn that when confronted with irregular figures they can decompose and rearrange the figures into shapes that they can easily find the area of. A lot of work is done in this section with developing methods and formulas for finding the area of parallelograms, triangles, and trapezoids. Students do this by finding the area of several different examples of these shapes through transformations and then generalize their methods. Once students are familiar with finding area they turn to finding missing measurements. They use the relationship between a polygon’s dimensions and its area to do so. They use their knowledge of finding area to answer question related to real-world applications and finally work with finding the area of irregular figures by decomposing these figures into triangles, rectangles, and/or trapezoids.

2 STANDARDS BY INTERIM 2015-16 NC DEPARTMENT OF PUBLIC INSTRUCTION