Sets and Logic Teacher Resources
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Lower graders explore recursive patterns. They use a calculator to recognize, generate, and explore patterns during arithmetic explorations. The unit provides several assignments of an exploratory nature designed to assist in developing mathematical thinking and reasoning.
In this algebraic reasoning worksheet, students determine which of 4 given answers correctly replaces a questions mark shown at the end of a balance scale sequence. An answer key is included.
In this algebraic reasoning for grade 5 worksheet, 5th graders answer 10 multiple choice questions, not interactively, about equations and operations, with answers available online.
How do fashion and math relate? Using interactive websites and video clips, learners apply proportional reasoning to the fashion industry. They look for patterns and linear relationships, apply unit rate concepts to garment materials costs and retail pricing. Make merchandisers out of your mathematicians with this two-part lesson!
Relate math to video games by investigating the making of video games and where in the game math is used to make the game work. Learners will work on communication and problem solving strategies in this engaging lesson.
Third graders investigate numerical and geometric patterns and express them in words or numbers. In this algebraic reasoning instructional activity, 3rd graders analyze the structure of the pattern and how it changes or grows, organize information systematically, and use analysis to develop generalizations.
Students practice using the think, plan, try and check strategy, and use algebraic reasoning to figure out the best method of problem solving in real-life math situations. This lesson includes an online problem-solving game.
Students solve and graph trigonometric equations, stating the amplitude, period and vertical shift. In this trigonometric equations lesson, students solve and graph one problem using algebraic reasoning, the 2nd through 6th problems allow a technological solution. Students summarize the characteristics of a table (shown on the worksheet). They solve one Application problem (guided questioning is used).
Students analyze relating a model to an algebraic equation and visa versa. Patterns are reviewed in detail and then in pairs new models are created and then translated into a word problem or equation. They illustrate their models on graph paper.
In this algebraic reasoning activity, students solve 4 multiple choice and true/false problems. Students determine which statements about equality are true. Students find the appropriate representation of a given symbol in terms of another symbol.
This activity gets at the heart of algebraic reasoning and setting up equations with one variable to solve real-world problems. The worksheet has only one problem, but it requires that learners first use their own reasoning capabilities to understand the solution and then build an algebraic equation.
Astrolabes have been used by explorers and astronomers throughout the ages. But how exactly do they work and what can a young mathematician do with one today? Students will build a simple version of this tool and then using the altitude, measure the height of various objects. Accompanying worksheets guide learners through different discoveries using their knowledge of similar triangles and trigonometric ratios.
Polygons don't have to be big scary shapes, break them down into composite figures and find the area piece by piece. Start by reviewing how to the find the area of a triangle and quadrilateral because those are commonly used to create bigger polygons. The example introduces a polygon that can be split into three different shapes, all quadrilaterals. Have your learners use the area formula for each piece after finding the missing sides based on the sides given. Challenge them with a nonagon and show them that it can be broken down into multiple triangles to find the area.
Four simple equations, each with two variables, try to get at the important question of reasoning about equations. The problem isn't to solve the equations, but to understand the nature of their solutions. These equations address the importance of reasoning, which is at the heart of the Common Core math standard.
Creating an alternative ending to a narrative is the focus of a five-part series of videos that use W. W. Jacobs’ short story “The Monkey’s Paw” to model the process. This video, the third in the series, shows viewers how to use an outline and meaningful language to draft the previously planned conclusion. The video would work best shown with the others after a close reading of the tale.
We use debt often to describe negative numbers and your learners will be able to see how it translates into math. They will be asked to go through a series of transactions and make simple equations for each one, following it with a coordinating number line.
How can learners use algebra to solve a geometry problem? Help learners create an equation that shows the relationship between the number of sides of a polygon and the sum of the interior angles. Young scholars are asked to divide the quadrilateral found in the resource into two triangles. Then recognize that the sum of interior angles for each triangle drawn is 180 degree and the sum of the interior angles for the quadrilateral is 360 degrees. The second polygon is a pentagon, using the same method, number crunchers verify that the sum of the angles is 540 degrees. It is now up to your algebra learners to describe the relationship of the number of sides and the sum of the interior angles with an equation.
Help algebra learners gain insight into the different forms of a quadratic equation. Using a motion sensor and a can on a table that has one end slightly elevated, learners gather data from rolling the can. They graph their data in relation to time and distance. Then looking at quadratic equations in three forms (vertex form, factored form, standard form), they compare them graphically and algebraically.
Take your learners shopping and create an inequality to express how many items they can purchase. This video introduces a situation where your mathematicians must break down a word problem into an inequality. See how each step is done and what important information to look for. Use the extension activities for alternative ways to practice by rearranging the word problems. This is the fourth video in a six-part series about solving equations and inequalities.
“The Monkey’s Paw” serves as the anchor text for a series of videos that show viewers how to craft an alternative ending to a narrative. The focus of this fourth video is on how to develop rich dialogue between characters that is consistent with the author’s style and that reinforces the theme of the narrative. To model the process, the narrator highlights sections of W. W. Jacob’s horror story that reveal the theme and characteristics of the dialogue between Mr. and Mrs. White. Using these characteristics as a guideline, the narrator then models how to construct dialogue for her chosen ending.