Archive for the ‘Periods 3&4’ Category

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Xavier

6.RP.A.1

Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

6.RP.A.2

Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship.

6.RP.A.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.

7.RP.A.1

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

7.RP.A.2

Recognize and represent proportional relationships between quantities.

7.RP.A.2a

Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

7.RP.A.2b

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

7.RP.A.2c

Represent proportional relationships by equations.

7.RP.A.2d

Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

7.RP.A.3

Use proportional relationships to solve multistep ratio and percent problems.
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6.RP.A.1

Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

6.RP.A.2

Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship.

6.RP.A.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.

6.RP.A.3a

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.

6.RP.A.3b

Solve unit rate problems including those involving unit pricing and constant speed.

6.RP.A.3c 

Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.

6.RP.A.3d 

Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

6.RP.A.1

 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

6.RP.A.2

 Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship.

6.RP.A.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.

6.RP.A.3a

 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.

6.RP.A.3b

Solve unit rate problems including those involving unit pricing and constant speed.

(6.RP.A.1) Understand ratios and using ratio language to describe a ratio relationship

Lessons:

Tenmarks Assignments:

  • 6.RP.1Representing Ratios

 

(6.RP.A.2) Understand unit rate and use rate language in the context of a ratio relationship

Lessons:

TenMarks Assignments:

  • 6.RP.2 Expressing Unit Rate

 

6.RP.3a-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.

 Lessons:

Isolation Drills:

 

TenMarks. Assignments:

  • 6.RP.3a Ratio Tables and Graphs

 

6.RP.A.3b Solve unit rate problems including those involving unit pricing and constant speed.

Lessons:

Isolation Drills:

 

TenMarks Assignments:

  • 6.RP.3b Solving Problems Involving Unit Rate

 

6.RP.A.3c nFind a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.

Lessons:

Isolation Drills:

TenMarks Assignments:

  • 6.RP.3cExpressing Percents
  • 6.RP.3cPercent Relationships
  • 6.RP.3cSolving Percent Word Problems

6.RP.A.3d Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

Lessons:

Convert measurement units using ratio tables

Isolation Drills:

none

TenMarks Assignments:

  • 6.RP.3d Converting Measurement Units Using Ratio Reasoning

Rates, Ratio, and Proportions

Statistics

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Scores:

6.G.1 Find the area41 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. 6.G.4 Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

6.SP.2 Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.
6.SP.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.
6.SP.4 Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

materials

Barbie Bungee Jump EXCEL Spreadsheet

6.RP.3a
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.

6.NS.2
Fluently divide multi-digit numbers using the standard algorithm.

6.EE.2a
Write expressions that record operations with numbers and with letters standing for numbers.

6.EE.2c
Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

6.EE.3
Apply the properties of operations to generate equivalent expressions.

6.EE.5
Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.
6.EE.6
Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
6.EE.7
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

School Hall Drop Zone= .5m (mortar) + 7.5b (blocks)  144-181 inches

School Roof Drop Zone= 7.5v (vertical bricks) + .5m(mortar) + 2h(horizontal bricks)