8 - using linear equations to solve word problemsAnthony_Maiorano
The document discusses using linear equations to solve word problems, which usually deal with changes over time. It provides examples of common core standards related to proportional relationships, linear equations, and functions. It also defines key vocabulary words and outlines the UNRAAVEL strategy for solving word problems step-by-step. Finally, it works through examples of word problems and their solutions using linear equations.
This document outlines an educational session focused on implementing the Common Core State Standards for Mathematical Practice. The session aims to help participants understand what it means for students to be mathematically proficient by examining each of the eight standards for mathematical practice. Participants will engage in math activities and discussions to explore how to develop students' abilities in areas like problem solving, reasoning, modeling, and precision. The document provides facilitation guides and teaching strategies for each standard to help educators strengthen students' mathematical proficiency as defined by the Common Core.
A system of linear equations in two variables can be solved either graphically or algebraically. Graphically, the solutions are found by drawing the lines corresponding to each equation and finding their point(s) of intersection. Algebraically, the equations are combined to eliminate one variable, resulting in an equation that can be solved for the remaining variable. A system has a single solution if the lines intersect at one point, no solution if the lines are parallel, or infinite solutions if the lines coincide as the same line.
This document discusses various assistive technologies that can help students with math skills like automaticity, fluency, and conceptual understanding. It describes features of educational apps, such as simplified screens and instructions, consistent menus, graphics and audio support, and explanatory feedback. It also outlines tools like calculators, manipulatives, graph paper, and software that provide visual and audio support for math skills and concepts.
This document outlines the 1st grade math curriculum map for the Isaac School District. In quarter 1, students will learn about number sense including representing and comparing whole numbers up to 100. They will also learn addition and subtraction strategies and how to represent word problems using various methods. In quarter 2, students will study patterns, learning about different types of patterns that occur in real life and how patterns can be used to solve problems.
8 - using linear equations to solve word problemsAnthony_Maiorano
The document discusses using linear equations to solve word problems, which usually deal with changes over time. It provides examples of common core standards related to proportional relationships, linear equations, and functions. It also defines key vocabulary words and outlines the UNRAAVEL strategy for solving word problems step-by-step. Finally, it works through examples of word problems and their solutions using linear equations.
This document outlines an educational session focused on implementing the Common Core State Standards for Mathematical Practice. The session aims to help participants understand what it means for students to be mathematically proficient by examining each of the eight standards for mathematical practice. Participants will engage in math activities and discussions to explore how to develop students' abilities in areas like problem solving, reasoning, modeling, and precision. The document provides facilitation guides and teaching strategies for each standard to help educators strengthen students' mathematical proficiency as defined by the Common Core.
A system of linear equations in two variables can be solved either graphically or algebraically. Graphically, the solutions are found by drawing the lines corresponding to each equation and finding their point(s) of intersection. Algebraically, the equations are combined to eliminate one variable, resulting in an equation that can be solved for the remaining variable. A system has a single solution if the lines intersect at one point, no solution if the lines are parallel, or infinite solutions if the lines coincide as the same line.
This document discusses various assistive technologies that can help students with math skills like automaticity, fluency, and conceptual understanding. It describes features of educational apps, such as simplified screens and instructions, consistent menus, graphics and audio support, and explanatory feedback. It also outlines tools like calculators, manipulatives, graph paper, and software that provide visual and audio support for math skills and concepts.
This document outlines the 1st grade math curriculum map for the Isaac School District. In quarter 1, students will learn about number sense including representing and comparing whole numbers up to 100. They will also learn addition and subtraction strategies and how to represent word problems using various methods. In quarter 2, students will study patterns, learning about different types of patterns that occur in real life and how patterns can be used to solve problems.
Phuong - Taxation in the UK - Chapter 9 - The personal tax computationPhuong Nguyen
Going along with this presentation is the instruction for self-learning, hihi, but in Vietnamese :D
Hope it would be helpful for you in this quite boring subject ^^
(Please read comments from the bottom to the top)
1. The document presents an exercise on mathematical reasoning with 5 questions.
2. The questions test a variety of mathematical logic skills, including determining if statements are true or false, writing implications, completing arguments with valid premises, and using quantifiers to form true statements.
3. The final section provides a diagnostic test to further assess skills in mathematical statements, implications, argument structures, and applying properties of shapes and numbers.
Big Ideas and Problem Solving in Math Instructionphionahenry
This document discusses big ideas and problem solving in junior math instruction. It defines big ideas as the interrelated concepts that form a framework for learning mathematics coherently. Problem solving is central to learning math as it allows students to connect ideas, develop understanding, and apply knowledge in new contexts. The document advocates for a problem-solving approach to developing an understanding of big ideas, as it provides opportunities for in-depth exploration of mathematical concepts.
AS 90019 involves recording information from subject matter to demonstrate basic drawing and compositional conventions, and control of wet and dry media in recording information.
This document provides guidance on best practices for math instruction using the Common Core Mathematical Practices and district curriculum. It emphasizes integrating the Habits of Mind and Interaction into daily math lessons through strategies like using a high-level problem of the day, facilitating student math talks, and creating public records of strategies and representations. Teachers are advised to plan lessons that encourage productive struggle and facilitate students discovering mathematical ideas on their own.
The document is a curriculum guide for mathematics education in the Philippines from grades K-10. It outlines the conceptual framework, course description, learning area standards, and grade level standards for mathematics. The goals of mathematics education are developing critical thinking and problem solving skills. The curriculum covers 5 content areas: numbers and number sense, measurement, geometry, patterns and algebra, and probability and statistics. It is based on theories of experiential learning, situated learning, reflective learning, constructivism, cooperative learning, and discovery learning. The guide describes the key concepts and skills students should demonstrate at different grade levels.
Chapter 3. linear equation and linear equalities in one variablesmonomath
Here are the steps to solve this inequality problem:
1) Write an expression for the perimeter in terms of x
2) Set the perimeter expression ≤ 40
3) Isolate x by undoing the operations
4) Write the solution set
The solution is 0 ≤ x ≤ 7
Instrumentation in mathematics (Instructional Materials)Lara Katrina
Manipulatives are objects designed for learners to perceive mathematical concepts by manipulating them. They allow students to learn in a hands-on way. The document describes several types of manipulatives including fraction tiles, law of signed number flashcards, an improvised geoboard, platonic solids models, algebra tiles, and a circle-parallelogram relationship model. It provides instructions for pedagogical uses and procedures for each manipulative.
The document discusses using mathematical modeling to develop mathematical habits of mind in students. It describes modeling as a means to support reasoning and sense-making. Research shows modeling helps students learn by linking multiple representations. The Common Core Standards for Mathematical Practice emphasize modeling with mathematics and using appropriate tools strategically. Modeling involves making sense of problems, not just getting answers. Linking representations, like using area models to understand multiplication, strengthens conceptual understanding. The goal is depth of learning, not just covering more topics.
Linear programming - Model formulation, Graphical MethodJoseph Konnully
The document discusses linear programming, including an overview of the topic, model formulation, graphical solutions, and irregular problem types. It provides examples to demonstrate how to set up linear programming models for maximization and minimization problems, interpret feasible and optimal solution regions graphically, and address multiple optimal solutions, infeasible solutions, and unbounded solutions. The examples aid in understanding the key steps and components of linear programming models.
Phuong - Taxation in the UK - Chapter 9 - The personal tax computationPhuong Nguyen
Going along with this presentation is the instruction for self-learning, hihi, but in Vietnamese :D
Hope it would be helpful for you in this quite boring subject ^^
(Please read comments from the bottom to the top)
1. The document presents an exercise on mathematical reasoning with 5 questions.
2. The questions test a variety of mathematical logic skills, including determining if statements are true or false, writing implications, completing arguments with valid premises, and using quantifiers to form true statements.
3. The final section provides a diagnostic test to further assess skills in mathematical statements, implications, argument structures, and applying properties of shapes and numbers.
Big Ideas and Problem Solving in Math Instructionphionahenry
This document discusses big ideas and problem solving in junior math instruction. It defines big ideas as the interrelated concepts that form a framework for learning mathematics coherently. Problem solving is central to learning math as it allows students to connect ideas, develop understanding, and apply knowledge in new contexts. The document advocates for a problem-solving approach to developing an understanding of big ideas, as it provides opportunities for in-depth exploration of mathematical concepts.
AS 90019 involves recording information from subject matter to demonstrate basic drawing and compositional conventions, and control of wet and dry media in recording information.
This document provides guidance on best practices for math instruction using the Common Core Mathematical Practices and district curriculum. It emphasizes integrating the Habits of Mind and Interaction into daily math lessons through strategies like using a high-level problem of the day, facilitating student math talks, and creating public records of strategies and representations. Teachers are advised to plan lessons that encourage productive struggle and facilitate students discovering mathematical ideas on their own.
The document is a curriculum guide for mathematics education in the Philippines from grades K-10. It outlines the conceptual framework, course description, learning area standards, and grade level standards for mathematics. The goals of mathematics education are developing critical thinking and problem solving skills. The curriculum covers 5 content areas: numbers and number sense, measurement, geometry, patterns and algebra, and probability and statistics. It is based on theories of experiential learning, situated learning, reflective learning, constructivism, cooperative learning, and discovery learning. The guide describes the key concepts and skills students should demonstrate at different grade levels.
Chapter 3. linear equation and linear equalities in one variablesmonomath
Here are the steps to solve this inequality problem:
1) Write an expression for the perimeter in terms of x
2) Set the perimeter expression ≤ 40
3) Isolate x by undoing the operations
4) Write the solution set
The solution is 0 ≤ x ≤ 7
Instrumentation in mathematics (Instructional Materials)Lara Katrina
Manipulatives are objects designed for learners to perceive mathematical concepts by manipulating them. They allow students to learn in a hands-on way. The document describes several types of manipulatives including fraction tiles, law of signed number flashcards, an improvised geoboard, platonic solids models, algebra tiles, and a circle-parallelogram relationship model. It provides instructions for pedagogical uses and procedures for each manipulative.
The document discusses using mathematical modeling to develop mathematical habits of mind in students. It describes modeling as a means to support reasoning and sense-making. Research shows modeling helps students learn by linking multiple representations. The Common Core Standards for Mathematical Practice emphasize modeling with mathematics and using appropriate tools strategically. Modeling involves making sense of problems, not just getting answers. Linking representations, like using area models to understand multiplication, strengthens conceptual understanding. The goal is depth of learning, not just covering more topics.
Linear programming - Model formulation, Graphical MethodJoseph Konnully
The document discusses linear programming, including an overview of the topic, model formulation, graphical solutions, and irregular problem types. It provides examples to demonstrate how to set up linear programming models for maximization and minimization problems, interpret feasible and optimal solution regions graphically, and address multiple optimal solutions, infeasible solutions, and unbounded solutions. The examples aid in understanding the key steps and components of linear programming models.