check with provided answers complete the column in this for First Differences and Proportions ‘Before' for more information about Anticipation Guide in pages 10-14 Action Task 2: First Differences and Proportions Investigations Students will: work through five investigations calculate the first differences and ratios for the two variables being investigated create graphs for some of the relationships being investigated; others will be given the digital plots scatter plots and linear relations in the first quadrant (an introduction video is given in Unit 2 Activity 1) the graph should be created using the characteristics of a good graph (i.e., proper placement of dependent and independent variables, labeled axes with units, if appropriate, uniform scale and descriptive title) check answers with provided solutions fill out an Investigations Summary Chart in order to make connections between proportional relationships, constant first differences, common ratios, proportionality constants and linear relations (intersects the vertical axis at (0,0)) check answers with sample solutions provided adjust their summary if needed The first example may be completed as a whole class and the remaining four investigations can be organized as a Coach and Be Coached activity. Students can be assigned two or three of the investigations, ensuring all five of the investigations have been done. Share all of the results whole class. Individually fill out the Investigations Summary Chart. Consolidation Task 3: Anticipation Students will: revisit their Anticipation Guide for first differences and proportions fill in the column and compare answers in the column ‘Before' Journal Prompt and Sample Response Reflect about information that has been confirmed and new information learned as a result of the investigations. If the ratios between the variables of a relation are constant then the relation is linear. If a relation is linear but not proportional, then its line of best fit does not meet the vertical axis at the origin, (0, 0). For a linear proportional relation, when one quantity doubles, the other quantity also doubles.
check with provided answers complete the ‘Before' column in this for First Differences and Proportions for more information about Anticipation Guide in pages 10-14 Action Task 2: First Differences and Proportions Investigations Students will: work through five investigations calculate the first differences and ratios for the two variables being investigated create graphs for some of the relationships being investigated; others will be given the digital plots scatter plots and linear relations in the first quadrant (an introduction video is given in Unit 2 Activity 1) the graph should be created using the characteristics of a good graph (i.e., proper placement of dependent and independent variables, labeled axes with units, if appropriate, uniform scale and descriptive title) check answers with provided solutions fill out an Investigations Summary Chart in order to make connections between proportional relationships, constant first differences, common ratios, proportionality constants and linear relations (intersects the vertical axis at (0,0)) check answers with sample solutions provided adjust their summary if needed The first example may be completed as a whole class and the remaining four investigations can be organized as a Coach and Be Coached activity. Students can be assigned two or three of the investigations, ensuring all five of the investigations have been done. Share all of the results whole class. Individually fill out the Investigations Summary Chart. Consolidation Task 3: Anticipation Students will: revisit their Anticipation Guide for first differences and proportions fill in the column and compare answers in the ‘Before' column Journal Prompt and Sample Response Reflect about information that has been confirmed and new information learned as a result of the investigations. If the ratios between the variables of a relation are constant then the relation is linear. If a relation is linear but not proportional, then its line of best fit does not meet the vertical axis at the origin, (0, 0). For a linear proportional relation, when one quantity doubles, the other quantity also doubles.
U4A2_ProportionalvsNonProportionalRelationships_AODA.docx