This unit builds on students’ earlier study of systems of numbers (natural numbers, whole numbers, and positive fractions and decimals) as students investigate values less than zero. They formalize an understanding of integers and their relationship to the set of rational numbers. Students develop an understanding of how integers are used in real-world contexts, including the meaning of absolute value. In Grade 7, students learn to operate with positive and negative rational numbers. Students also expand their understanding of rational numbers as they extend the coordinate plane to include all four quadrants. Students apply their understanding of absolute value to determine distances in the coordinate plane.
PACING = 3 weeks
∎ Students will understand and relate concepts of rational numbers using number lines and coordinate grids to make sense of quantities in real-world scenarios. (6.NS.6) (MP.2, MP.3, MP.4)
I can name the opposites of numbers. (6.NS.6a)
I can plot pairs of positive and negative numbers on a coordinate plane, including reflections of those points. (6.NS.6b)
I can find and position integers and other rational numbers on a number line and a coordinate plane. (6.NS.6c)
∎ Students will understand the absolute value of a number is the distance a number is from zero and compare the absolute values of both positive and negative values in real world situations. (6.NS.5, 6.NS.7, 6.NS.8) (MP.2, MP.3, MP.4)
I can understand and use positive and negative numbers to represent quantities in real-world situations. (6.NS.5)
I can justify the meaning of positive and negative quantities and their connection to real world applications. (6.NS.5)
I can write, interpret, and explain an inequality using integers in real-world situations (using a number line model). (6.NS.7a, 6.NS.7b)
I can compare absolute values of positives and negatives to determine which number is farther from zero. (6.NS.7d)
I can solve real world problems by graphing points in all four quadrants of the coordinate plane. (6.NS.8)
∎ Major Content ⊡ Supporting Content 🌕 Additional Content
New Vocab: integers, negative numbers, opposite numbers, positive numbers, rational numbers, absolute value, quadrants, reflections, Quantity, Debits and Credits , Above and below sea level, Deposit and withdrawal, distance, rational number, R-Greater than (>) ,R-Less than (<) , R-Equal to
Review Vocab: whole number, compare, inequality, origin, x-axis, x-coordinate, y-axis, y-coordinate, coordinate plane, ordered pair, area, perimeter, polygon,
Academic Vocab: elevation, horizontal, interpret, lesser, relative to, notation, plot, counterclockwise
*The computational strategies that you practice during number talks does NOT have to align with the core math content. Number talks are meant to practice fluency strategies, not teach new content.
Ready Teacher Toolbox Lesson 23: Understand Positive and Negative Numbers -Sessions 1-3
Assessment Tasks UPDATED 6th grade bank NS.C.5 Proficiency Rubrics 6.NS.5 IAR sample questions 6.NS.5
Prior knowledge/Just in Time support & Enrichment Lesson 23 It's Simply Elemental
Nearpod Math lessons Open Middle tasks
Interactive manipulatives
Ready Teacher Toolbox Lesson 24: Order Positive and Negative Numbers -Sessions 1-3
Lesson 25: Understand Absolute Values -Sessions 1-3
Assessment Tasks UPDATED 6th grade bank 6.NS.7 Proficiency Rubrics 6.NS.7 IAR sample questions 6.NS.7
Prior knowledge/Just in Time support & Enrichment Lesson 24 Comparing Clues & Lesson 25 Absolutely True
Nearpod Math lessons Open Middle tasks
Interactive manipulatives
Ready Teacher Toolbox Lesson 27: Understand the Four-Quadrant Coordinate Plane -Sessions 1-3
Assessment Tasks UPDATED 6th grade bank 6.NS.6 Proficiency Rubrics 6.NS.6 IAR sample questions 6.NS.6
Prior knowledge/Just in Time support & Enrichment Lesson 27 Logo Motion
Nearpod Math lessons Open Middle tasks
Interactive manipulatives
I can solve real world problems by graphing points in all four quadrants of the coordinate plane. (6.NS.8)
I can draw polygons on a coordinate plane and use the coordinates to find the lengths of the side(s). (6.G.3)
I can use graphed polygons on the coordinate plane to help me solve real world problems. (6.G.3)
Ready Teacher Toolbox Lesson 28: Solve Problems in the Coordinate Plane -Sessions 1-4
Assessment Tasks UPDATED 6th grade bank 6.NS.8 6.G.3 Proficiency Rubrics 6.NS.8 6.G.3 IAR sample questions 6.NS.8 6.G.3
Prior knowledge/Just in Time support & Enrichment Lesson 28 Quadrant Smart
Nearpod Math lessons Open Middle tasks
Interactive manipulatives
“Closure in a lesson does not mean to pack up and move on. Rather, it is a cognitive activity that helps students focus on what was learned and whether it made sense and had meaning.” How the Brain Learns Mathematics (2007) P. 104
There are many ways to wrap up and reflect the day's activities but this step is often overlooked or rushed. Purposely plan and allow time for students to have closure each day (even if it means setting a timer or daily alarm so you don't run out of time).
Ideas for closure activities