Welcome to the new 2016 – 2017 school year!
Math 7 is a great course that extends students’ knowledge of numbers and mathematical connections and concepts as well as how to use them.
Students will gain an appreciation and deeper understanding of the fact that we can represent numbers in many different ways. We also focus on proportional reasoning and how mathematical relationships can be expressed and used to solve problems in real life.
March 14/15 SNOW DAY MATH: We're out of school but learning does not have to stop...Review the Transformations links below and practice on IXL.com. The login info is on the Useful Links page. Once you're on Virginia SOLs for 7th grade math, scroll down to SOL 7.8 and practice on the DILATIONS topics [skills 8-Q.2 and 8-Q.3].
In this unit, we are learning about transformations [how graphs of figures can be changed] through a) DILATIONS, b) TRANSLATIONS, c) REFLECTIONS, and d) ROTATIONS
If you feel really adventurous, have fun with the TRANSLATIONS topics [Skills 7-X.3 and 7-X.4]. As always, you can also use the time to brush up on any topics that you need to work on.
Current unit [Mid-March]: Geometry [Transformations]:
It's covered in Chapter 12 in the textbook. Here's a video introduction of the four types of transformations. I'm also providing videos that explain how to perform each type.
Mathlight.com introduction to Transformations: Good overview of transformations)
Dilations: Zoom(In/Out)/Stretch/Shrink/Enlarge/Reduce: Virtual Nerd lesson on dilations
Quick presentation of dilations
Tutorial on dilation process and discussion of scale factor:
MASH UP MATH Dilations: (great demo, but notations are different than we use...don't get confused...it's still the same concept)
Translations (Slides): Translating Figures (Mrmaisonet.com)
Virtual Nerd Lesson on Translations
Mashup Math: Translations [watch from the beginning until 1:48 and then from 3:43 until the end]
Reflections (Flips): NOTE: We only have to know how to reflect over the x-axis and the y-axis in our course. You'll learn how to do reflections over other lines of symmetry/reflections in later math courses.
Virtual Nerd Lesson on Reflections
REFLECTIONS: Mr Maisonet.com
Rotations (Spins / Turns): NOTE: We only have to know how to "rotate around the origin in our course. You'll rotate around other points in later courses.
Virtual Nerd Lesson on Rotations
Mashup Math: Rotations [Good visuals and demo]
Upcoming unit (starts Feb 22-24): Geometry:
After reviewing Benchmark test results, we will start our Geometry unit by looking at Scale drawings/Maps and Similar Figures (SOL 7.6)which heavily rely on proportional reasoning, so it's a good bridge from the previous unit. It's covered in Chapter 5 (Multi-part Lessons 2 and 3) in the textbook.
Quadrilaterals [SOL 7.7]. Students will have to know the characteristics of quadrilaterals and their subsets/types, specifically the trapezoid, parallelogram, rectangle, rhombus, and square.
Transformations [7.8]. Students will look at how we can change the graph of figures on the coordinate plane. Transformations are widely used in art, design, animation, and video games.
DIGITAL LEARNING DAY: Feb 23 Focus on Scale and Similar Figures: Please go to the Following sites
Similar Figures introduction: Math lesson on Similar Figures from Mate's Math Lessons (THIS IS FIRST...use this site to complete your notes on similar figures)
Practice with scale drawings: Transum Scale Drawings
Scale drawings practice: IXL: Practice Scale drawings and Scale Factor or Indirect Measurements
IXL.com Similar Figures: similar-and-congruent-figures or Finding miss side lengths and angle measures or
Similar Figures interactive (Extension activity for similar figures...use PBS Learning Media handout and question set)
Upcoming unit (starts Feb 22-24): Geometry:
In this unit, we are learning about proportional reasoning
After reviewing Benchmark test results, we will start our Geometry unit by looking at Scale drawings/Maps and Similar Figures (SOL 7.6) which heavily rely on proportional reasoning, so it's a good bridge from the previous unit. It's covered in Chapter 5 (Multi-part Lessons 2 and 3) in the textbook.
CURRENT FOCUS (Feb 13-21): BENCHMARK REVIEW / TEST and FEEDBACK
PROPORTIONAL REASONING (SOL 7.4)!
In this unit, we are learning about proportional reasoning, the very useful concept involving many situations of comparisons in which ratios (comparisons of quantities/measures) change in a multiplicative sense that we see in unit rates, tax, tips, discount scenarios, unit conversions, scaling up/down, distance, time, average speed concept, and so many other real-life situations. It's a big concept with with lots of sub-areas, butt here are many resources to help understand it.
WE look at ratio tables, setting up proportions, solving proportions for a missing number, determining proportionality, unit rates, percent proportion problems, sales tax, tip, and discount scenarios, and a host of real-world scenarios. The text covers these concepts in Chapters 5 and 6. IXL (see the useful links section) also has lots of practice.
THIS UNIT'S FOCUS (Dec 12- Jan 31): Solving Equations and Inequalities
This unit focuses on equations and inequalities. The first two portion dealt with one and two-step equations. Then the course moved to two step equations, followed by one-step inequalities.
THIS UNIT'S FOCUS (Dec 12- Jan 21): Solving Equations
This week we are focusing on modeling (mainly using Algebra Tiles)and solving one step equations using all four operations. This topic is covered in Chapter 4 of the textbook (pp 200-227). The concept and the processes are also explained in the following video: Solving One-Step Equations
and also at algebra-class.com solving equatios site: Algebra-class.com
A practice activity that I highly recommend is math playground: solving equations
. It gives a tutorial of modeling and solving equations and allows students to both model and solve equations.
THIS WEEK'S FOCUS (Dec 5 -9): BENCHMARK Prep, TEST, and Post-Test Review
This week we will take the first BENCHMARK test on Wed, Dec 7
To help prepare, students received a study guide to complete that will be due on Mon, Dec 5 and will be worth a quiz grade.
The Benchmark is cumulative and will cover all topics covered to date this year.
For an additional set of practice problems, click the following link ---->: practice questions with answers.
- Integer Modeling and Operations (SOL 7.3)
- Powers of 10 / Converting between scientific notation and standard form / perfect squares and square roots / absolute value / comparing and ordering numbers written as fractions, decimals, percents, and scientific notation (SOL 7.1)
- Properties of numbers and operations: (SOL 7.16)
- Translating and evaluating algebraic/verbal expressions (7.13)
In addition to the study guide, students can and should use notes/classwork, the resources provided in previous posts below, internet resources listed in useful links, and their textbooks (which they should have at home) to help prepare. I will also have tutoring sessions on Tuesday and Wed. PARENTS: If you want your child to attend a tutoring session, please contact me at firstname.lastname@example.org.
Lesson for Today (November 22): Translating and Evaluating Expressions
THIS WEEK'S FOCUS: Nov 21 - 30: This week we are focusing on evaluating (or simplifying) algebraic expressions where we give a number to a variable and then use the "order of operations" to simplify the expression to a single number. The students should think of this as "Substitute" and "Simplify." HAPPY THANKSGIVING!!!
THIS WEEK'S FOCUS: Nov 14-18
This week, we will continue on to our next unit, EXPRESSIONS, which allow us to model and describe scenarios involving numbers. Specifically, we are translating verbal expressions (with words only) into numeric and algebraic expressions (using numbers, variables, operators, and symbols) and vice versa. Reading comprehension, essential vocabulary terms (variable, coefficient, constant, term, expression, equation), and recognizing/utilizing key words are critical in describing quantities and showing the relationship between them.
Here are a few resources to help supplement or review classwork:
"The Language of Algebra" video
Passys's World of Math_ Expressions
Translating Expressions and Equations Quiz
LESSON FOR TUESDAY, Nov 1: BLENDSPACE: Unit 2 Test Review
**** UNIT 2 TEST COMING UP ON WED, NOV 2 ****
The test will cover converting, comparing, and ordering numbers in various forms (fractions, decimals, percents, scientific notation), properties of operations, perfect squares and square roots, absolute value, and powers of ten. Please study and prepare to do well. A study guide was sent home on Friday and will be due on Tues, Nov 1. Click here for the study guide.
THIS WEEK'S FOCUS: Oct 24-28
This week's focus is on identifying and applying the ten Properties of Operations. In many ways, it's a review of previous years' work when we look at the commutative and associative properties of addition and multiplication, the identity and inverse properties of addition and multiplication, the distributive property, the zero property of multiplication; however, the additive inverse property is new and is closely related to integer addition concepts we studied at the beginning of the year. This video may help the students review at home. Properties of Operations. This Properties Practice Worksheet was completed in class/at home and students should be able to explain each situation/scenario. We also are doing a special focus on the Distributive Property as it is often a property that students have difficulty in recognizing, explaining and using.
THIS WEEK'S FOCUS: Oct 17-21. This week students will focus on converting, comparing, and ordering lists of numbers shown in various forms, such as fractions, decimals, percents, and scientific notation. These should be reviews for most students and cases except for scientific notation.
BLENDSPACE LESSON FOR MON: BLENDSPACE:Powers of Ten and Scientific Notation
This week, the class will continue our focus on comparing and ordering numbers in different forms (fractions, decimals, percents, and scientific notation) and converting between forms. The students will take a quiz on Friday on the material. This is SOL 7.1
THIS WEEK'S FOCUS: Oct 10-14
This week, the class will focus on Powers of Ten and Scientific Notation including using negative exponents to express numbers that are between 0 and 1.
Students will be able to express Powers of Ten in various forms, (words, decimal, fraction, exponential, expanded) and to convert standard numbers to scientific notation format and vice versa.
NOTE: Students will also need to submit their Integers Math Mini-Menu Choice Project on Tuesday, Oct 11. Students can choose from several options to show their understanding of integers.
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